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How do I align equations in three columns, justified right, center and left?


What is a good way to stack things in an equation?How Do I Horizontally Center An Operator Relative To Aligned Equations Above and BelowLong equation with left and right justifiedHow to left-align particular equations using own environment?How to align three equations?align three equationsMissing } inserted beginequationLeft align and right align in the same equations blockvertically-align left-center-right line to the topHow can I align this equation in the center?













2















[beginarraycrl
&(L-epsilon)(x-M)leq f(x)-f(M)&leq(L+epsilon)(x-M)\
Rightarrow&(L-epsilon)(x-M)+f(M)&leq f(x)&leq(L+epsilon)(x-M)+f(M)\
Rightarrow&(L-epsilon)(1-fracMx)+fracf(M)x&leqfracf(x)x&leqfracf(M)x+(L+epsilon)(1-fracMx)
endarray]


I have not been able to write in an alignment.










share|improve this question




























    2















    [beginarraycrl
    &(L-epsilon)(x-M)leq f(x)-f(M)&leq(L+epsilon)(x-M)\
    Rightarrow&(L-epsilon)(x-M)+f(M)&leq f(x)&leq(L+epsilon)(x-M)+f(M)\
    Rightarrow&(L-epsilon)(1-fracMx)+fracf(M)x&leqfracf(x)x&leqfracf(M)x+(L+epsilon)(1-fracMx)
    endarray]


    I have not been able to write in an alignment.










    share|improve this question


























      2












      2








      2


      0






      [beginarraycrl
      &(L-epsilon)(x-M)leq f(x)-f(M)&leq(L+epsilon)(x-M)\
      Rightarrow&(L-epsilon)(x-M)+f(M)&leq f(x)&leq(L+epsilon)(x-M)+f(M)\
      Rightarrow&(L-epsilon)(1-fracMx)+fracf(M)x&leqfracf(x)x&leqfracf(M)x+(L+epsilon)(1-fracMx)
      endarray]


      I have not been able to write in an alignment.










      share|improve this question
















      [beginarraycrl
      &(L-epsilon)(x-M)leq f(x)-f(M)&leq(L+epsilon)(x-M)\
      Rightarrow&(L-epsilon)(x-M)+f(M)&leq f(x)&leq(L+epsilon)(x-M)+f(M)\
      Rightarrow&(L-epsilon)(1-fracMx)+fracf(M)x&leqfracf(x)x&leqfracf(M)x+(L+epsilon)(1-fracMx)
      endarray]


      I have not been able to write in an alignment.







      math-mode equations alignment






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited May 26 at 19:58









      Davislor

      8,2841535




      8,2841535










      asked May 26 at 12:05









      J.DoeJ.Doe

      1405




      1405




















          3 Answers
          3






          active

          oldest

          votes


















          5














          Something like this, with eqparbox?



          documentclassarticle
          usepackagegeometry%
          usepackagemathtools
          usepackageeqparbox
          newcommandeqmathbox[2][M]eqmakebox[#1]$displaystyle#2$

          begindocument

          beginspreadlines1.5ex
          beginalignat3
          & & (L-epsilon)(x-M) & leq eqmathboxf(x)-f(M) & &leq(L+epsilon)(x-M)\
          & Rightarrowquad & (L-epsilon)(x-M)+f(M)&leq eqmathboxf(x)& & leq(L+epsilon)(x-M)+f(M)\
          & Rightarrow & (L-epsilon)biggl(1-fracMxbiggr)+fracf(M)x&leqeqmathboxfracf(x)x & &leqfracf(M)x+(L+epsilon)biggl(1-fracMxbiggr)
          endalignat
          endspreadlines

          enddocument


          enter image description here






          share|improve this answer
































            3














            You can still use array but some adjustments are required. Disable the default arraycolsep via setlengtharraycolsep0pt to allow default math spacing and renewcommandarraystretch1.5 to resemble align. Finally, you need to also add displaystyle like align.



            documentclass[a4paper]article
            usepackageamsmath,array
            begindocument

            setlengtharraycolsep0pt
            renewcommandarraystretch1.5
            [
            beginarrayc >displaystyler< >displaystylec >displaystylel
            & (L-epsilon)(x-M)leq f(x)-f(M)leq & (L+epsilon)(x-M) & \
            Rightarrow & (L-epsilon)(x-M)+f(M)leq & f(x) & leq(L+epsilon)(x-M)+f(M)\
            Rightarrow & (L-epsilon)biggl(1-fracMxbiggr)+fracf(M)xleq & fracf(x)x & leqfracf(M)x+(L+epsilon)biggl(1-fracMxbiggr)
            endarray
            ]

            enddocument



            enter image description here







            share|improve this answer
































              3














              Like this?



              documentclassbook

              usepackagemathtools

              begindocument

              [
              beginarraycrcl
              & (L-epsilon)(x-M) leq& f(x)-f(M) &leq (L+epsilon)(x-M) \
              Rightarrow & (L-epsilon)(x-M)+f(M) leq & f(x)&leq(L+epsilon)(x-M)+f(M)\
              Rightarrow&(L-epsilon)(1-fracMx)+fracf(M)xleq &fracf(x)x&leqfracf(M)x+(L+epsilon)(1-fracMx)
              endarray]

              enddocument


              enter image description here






              share|improve this answer










              New contributor



              ian is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
              Check out our Code of Conduct.














              • 1





                Could you post a screenshot of the result, please?

                – Phelype Oleinik
                May 26 at 12:40











              • @PhelypeOleinik How do I do that?

                – ian
                May 26 at 12:40











              • First take a screenshot of the generated pdf. Then click the “edit” button below your answer and then use the “Image” button to add it (see this article for some guidelines to format posts :).

                – Phelype Oleinik
                May 26 at 12:44











              • @PhelypeOleinik Thank you for the explanation!

                – ian
                May 26 at 18:59











              Your Answer








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              3 Answers
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              active

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              3 Answers
              3






              active

              oldest

              votes









              active

              oldest

              votes






              active

              oldest

              votes









              5














              Something like this, with eqparbox?



              documentclassarticle
              usepackagegeometry%
              usepackagemathtools
              usepackageeqparbox
              newcommandeqmathbox[2][M]eqmakebox[#1]$displaystyle#2$

              begindocument

              beginspreadlines1.5ex
              beginalignat3
              & & (L-epsilon)(x-M) & leq eqmathboxf(x)-f(M) & &leq(L+epsilon)(x-M)\
              & Rightarrowquad & (L-epsilon)(x-M)+f(M)&leq eqmathboxf(x)& & leq(L+epsilon)(x-M)+f(M)\
              & Rightarrow & (L-epsilon)biggl(1-fracMxbiggr)+fracf(M)x&leqeqmathboxfracf(x)x & &leqfracf(M)x+(L+epsilon)biggl(1-fracMxbiggr)
              endalignat
              endspreadlines

              enddocument


              enter image description here






              share|improve this answer





























                5














                Something like this, with eqparbox?



                documentclassarticle
                usepackagegeometry%
                usepackagemathtools
                usepackageeqparbox
                newcommandeqmathbox[2][M]eqmakebox[#1]$displaystyle#2$

                begindocument

                beginspreadlines1.5ex
                beginalignat3
                & & (L-epsilon)(x-M) & leq eqmathboxf(x)-f(M) & &leq(L+epsilon)(x-M)\
                & Rightarrowquad & (L-epsilon)(x-M)+f(M)&leq eqmathboxf(x)& & leq(L+epsilon)(x-M)+f(M)\
                & Rightarrow & (L-epsilon)biggl(1-fracMxbiggr)+fracf(M)x&leqeqmathboxfracf(x)x & &leqfracf(M)x+(L+epsilon)biggl(1-fracMxbiggr)
                endalignat
                endspreadlines

                enddocument


                enter image description here






                share|improve this answer



























                  5












                  5








                  5







                  Something like this, with eqparbox?



                  documentclassarticle
                  usepackagegeometry%
                  usepackagemathtools
                  usepackageeqparbox
                  newcommandeqmathbox[2][M]eqmakebox[#1]$displaystyle#2$

                  begindocument

                  beginspreadlines1.5ex
                  beginalignat3
                  & & (L-epsilon)(x-M) & leq eqmathboxf(x)-f(M) & &leq(L+epsilon)(x-M)\
                  & Rightarrowquad & (L-epsilon)(x-M)+f(M)&leq eqmathboxf(x)& & leq(L+epsilon)(x-M)+f(M)\
                  & Rightarrow & (L-epsilon)biggl(1-fracMxbiggr)+fracf(M)x&leqeqmathboxfracf(x)x & &leqfracf(M)x+(L+epsilon)biggl(1-fracMxbiggr)
                  endalignat
                  endspreadlines

                  enddocument


                  enter image description here






                  share|improve this answer















                  Something like this, with eqparbox?



                  documentclassarticle
                  usepackagegeometry%
                  usepackagemathtools
                  usepackageeqparbox
                  newcommandeqmathbox[2][M]eqmakebox[#1]$displaystyle#2$

                  begindocument

                  beginspreadlines1.5ex
                  beginalignat3
                  & & (L-epsilon)(x-M) & leq eqmathboxf(x)-f(M) & &leq(L+epsilon)(x-M)\
                  & Rightarrowquad & (L-epsilon)(x-M)+f(M)&leq eqmathboxf(x)& & leq(L+epsilon)(x-M)+f(M)\
                  & Rightarrow & (L-epsilon)biggl(1-fracMxbiggr)+fracf(M)x&leqeqmathboxfracf(x)x & &leqfracf(M)x+(L+epsilon)biggl(1-fracMxbiggr)
                  endalignat
                  endspreadlines

                  enddocument


                  enter image description here







                  share|improve this answer














                  share|improve this answer



                  share|improve this answer








                  edited May 26 at 19:50

























                  answered May 26 at 12:28









                  BernardBernard

                  180k780212




                  180k780212





















                      3














                      You can still use array but some adjustments are required. Disable the default arraycolsep via setlengtharraycolsep0pt to allow default math spacing and renewcommandarraystretch1.5 to resemble align. Finally, you need to also add displaystyle like align.



                      documentclass[a4paper]article
                      usepackageamsmath,array
                      begindocument

                      setlengtharraycolsep0pt
                      renewcommandarraystretch1.5
                      [
                      beginarrayc >displaystyler< >displaystylec >displaystylel
                      & (L-epsilon)(x-M)leq f(x)-f(M)leq & (L+epsilon)(x-M) & \
                      Rightarrow & (L-epsilon)(x-M)+f(M)leq & f(x) & leq(L+epsilon)(x-M)+f(M)\
                      Rightarrow & (L-epsilon)biggl(1-fracMxbiggr)+fracf(M)xleq & fracf(x)x & leqfracf(M)x+(L+epsilon)biggl(1-fracMxbiggr)
                      endarray
                      ]

                      enddocument



                      enter image description here







                      share|improve this answer





























                        3














                        You can still use array but some adjustments are required. Disable the default arraycolsep via setlengtharraycolsep0pt to allow default math spacing and renewcommandarraystretch1.5 to resemble align. Finally, you need to also add displaystyle like align.



                        documentclass[a4paper]article
                        usepackageamsmath,array
                        begindocument

                        setlengtharraycolsep0pt
                        renewcommandarraystretch1.5
                        [
                        beginarrayc >displaystyler< >displaystylec >displaystylel
                        & (L-epsilon)(x-M)leq f(x)-f(M)leq & (L+epsilon)(x-M) & \
                        Rightarrow & (L-epsilon)(x-M)+f(M)leq & f(x) & leq(L+epsilon)(x-M)+f(M)\
                        Rightarrow & (L-epsilon)biggl(1-fracMxbiggr)+fracf(M)xleq & fracf(x)x & leqfracf(M)x+(L+epsilon)biggl(1-fracMxbiggr)
                        endarray
                        ]

                        enddocument



                        enter image description here







                        share|improve this answer



























                          3












                          3








                          3







                          You can still use array but some adjustments are required. Disable the default arraycolsep via setlengtharraycolsep0pt to allow default math spacing and renewcommandarraystretch1.5 to resemble align. Finally, you need to also add displaystyle like align.



                          documentclass[a4paper]article
                          usepackageamsmath,array
                          begindocument

                          setlengtharraycolsep0pt
                          renewcommandarraystretch1.5
                          [
                          beginarrayc >displaystyler< >displaystylec >displaystylel
                          & (L-epsilon)(x-M)leq f(x)-f(M)leq & (L+epsilon)(x-M) & \
                          Rightarrow & (L-epsilon)(x-M)+f(M)leq & f(x) & leq(L+epsilon)(x-M)+f(M)\
                          Rightarrow & (L-epsilon)biggl(1-fracMxbiggr)+fracf(M)xleq & fracf(x)x & leqfracf(M)x+(L+epsilon)biggl(1-fracMxbiggr)
                          endarray
                          ]

                          enddocument



                          enter image description here







                          share|improve this answer















                          You can still use array but some adjustments are required. Disable the default arraycolsep via setlengtharraycolsep0pt to allow default math spacing and renewcommandarraystretch1.5 to resemble align. Finally, you need to also add displaystyle like align.



                          documentclass[a4paper]article
                          usepackageamsmath,array
                          begindocument

                          setlengtharraycolsep0pt
                          renewcommandarraystretch1.5
                          [
                          beginarrayc >displaystyler< >displaystylec >displaystylel
                          & (L-epsilon)(x-M)leq f(x)-f(M)leq & (L+epsilon)(x-M) & \
                          Rightarrow & (L-epsilon)(x-M)+f(M)leq & f(x) & leq(L+epsilon)(x-M)+f(M)\
                          Rightarrow & (L-epsilon)biggl(1-fracMxbiggr)+fracf(M)xleq & fracf(x)x & leqfracf(M)x+(L+epsilon)biggl(1-fracMxbiggr)
                          endarray
                          ]

                          enddocument



                          enter image description here








                          share|improve this answer














                          share|improve this answer



                          share|improve this answer








                          edited May 26 at 14:32

























                          answered May 26 at 14:14









                          AboAmmarAboAmmar

                          35.6k32985




                          35.6k32985





















                              3














                              Like this?



                              documentclassbook

                              usepackagemathtools

                              begindocument

                              [
                              beginarraycrcl
                              & (L-epsilon)(x-M) leq& f(x)-f(M) &leq (L+epsilon)(x-M) \
                              Rightarrow & (L-epsilon)(x-M)+f(M) leq & f(x)&leq(L+epsilon)(x-M)+f(M)\
                              Rightarrow&(L-epsilon)(1-fracMx)+fracf(M)xleq &fracf(x)x&leqfracf(M)x+(L+epsilon)(1-fracMx)
                              endarray]

                              enddocument


                              enter image description here






                              share|improve this answer










                              New contributor



                              ian is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                              Check out our Code of Conduct.














                              • 1





                                Could you post a screenshot of the result, please?

                                – Phelype Oleinik
                                May 26 at 12:40











                              • @PhelypeOleinik How do I do that?

                                – ian
                                May 26 at 12:40











                              • First take a screenshot of the generated pdf. Then click the “edit” button below your answer and then use the “Image” button to add it (see this article for some guidelines to format posts :).

                                – Phelype Oleinik
                                May 26 at 12:44











                              • @PhelypeOleinik Thank you for the explanation!

                                – ian
                                May 26 at 18:59















                              3














                              Like this?



                              documentclassbook

                              usepackagemathtools

                              begindocument

                              [
                              beginarraycrcl
                              & (L-epsilon)(x-M) leq& f(x)-f(M) &leq (L+epsilon)(x-M) \
                              Rightarrow & (L-epsilon)(x-M)+f(M) leq & f(x)&leq(L+epsilon)(x-M)+f(M)\
                              Rightarrow&(L-epsilon)(1-fracMx)+fracf(M)xleq &fracf(x)x&leqfracf(M)x+(L+epsilon)(1-fracMx)
                              endarray]

                              enddocument


                              enter image description here






                              share|improve this answer










                              New contributor



                              ian is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                              Check out our Code of Conduct.














                              • 1





                                Could you post a screenshot of the result, please?

                                – Phelype Oleinik
                                May 26 at 12:40











                              • @PhelypeOleinik How do I do that?

                                – ian
                                May 26 at 12:40











                              • First take a screenshot of the generated pdf. Then click the “edit” button below your answer and then use the “Image” button to add it (see this article for some guidelines to format posts :).

                                – Phelype Oleinik
                                May 26 at 12:44











                              • @PhelypeOleinik Thank you for the explanation!

                                – ian
                                May 26 at 18:59













                              3












                              3








                              3







                              Like this?



                              documentclassbook

                              usepackagemathtools

                              begindocument

                              [
                              beginarraycrcl
                              & (L-epsilon)(x-M) leq& f(x)-f(M) &leq (L+epsilon)(x-M) \
                              Rightarrow & (L-epsilon)(x-M)+f(M) leq & f(x)&leq(L+epsilon)(x-M)+f(M)\
                              Rightarrow&(L-epsilon)(1-fracMx)+fracf(M)xleq &fracf(x)x&leqfracf(M)x+(L+epsilon)(1-fracMx)
                              endarray]

                              enddocument


                              enter image description here






                              share|improve this answer










                              New contributor



                              ian is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                              Check out our Code of Conduct.









                              Like this?



                              documentclassbook

                              usepackagemathtools

                              begindocument

                              [
                              beginarraycrcl
                              & (L-epsilon)(x-M) leq& f(x)-f(M) &leq (L+epsilon)(x-M) \
                              Rightarrow & (L-epsilon)(x-M)+f(M) leq & f(x)&leq(L+epsilon)(x-M)+f(M)\
                              Rightarrow&(L-epsilon)(1-fracMx)+fracf(M)xleq &fracf(x)x&leqfracf(M)x+(L+epsilon)(1-fracMx)
                              endarray]

                              enddocument


                              enter image description here







                              share|improve this answer










                              New contributor



                              ian is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                              Check out our Code of Conduct.








                              share|improve this answer



                              share|improve this answer








                              edited May 26 at 18:59





















                              New contributor



                              ian is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                              Check out our Code of Conduct.








                              answered May 26 at 12:33









                              ianian

                              2527




                              2527




                              New contributor



                              ian is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                              Check out our Code of Conduct.




                              New contributor




                              ian is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                              Check out our Code of Conduct.









                              • 1





                                Could you post a screenshot of the result, please?

                                – Phelype Oleinik
                                May 26 at 12:40











                              • @PhelypeOleinik How do I do that?

                                – ian
                                May 26 at 12:40











                              • First take a screenshot of the generated pdf. Then click the “edit” button below your answer and then use the “Image” button to add it (see this article for some guidelines to format posts :).

                                – Phelype Oleinik
                                May 26 at 12:44











                              • @PhelypeOleinik Thank you for the explanation!

                                – ian
                                May 26 at 18:59












                              • 1





                                Could you post a screenshot of the result, please?

                                – Phelype Oleinik
                                May 26 at 12:40











                              • @PhelypeOleinik How do I do that?

                                – ian
                                May 26 at 12:40











                              • First take a screenshot of the generated pdf. Then click the “edit” button below your answer and then use the “Image” button to add it (see this article for some guidelines to format posts :).

                                – Phelype Oleinik
                                May 26 at 12:44











                              • @PhelypeOleinik Thank you for the explanation!

                                – ian
                                May 26 at 18:59







                              1




                              1





                              Could you post a screenshot of the result, please?

                              – Phelype Oleinik
                              May 26 at 12:40





                              Could you post a screenshot of the result, please?

                              – Phelype Oleinik
                              May 26 at 12:40













                              @PhelypeOleinik How do I do that?

                              – ian
                              May 26 at 12:40





                              @PhelypeOleinik How do I do that?

                              – ian
                              May 26 at 12:40













                              First take a screenshot of the generated pdf. Then click the “edit” button below your answer and then use the “Image” button to add it (see this article for some guidelines to format posts :).

                              – Phelype Oleinik
                              May 26 at 12:44





                              First take a screenshot of the generated pdf. Then click the “edit” button below your answer and then use the “Image” button to add it (see this article for some guidelines to format posts :).

                              – Phelype Oleinik
                              May 26 at 12:44













                              @PhelypeOleinik Thank you for the explanation!

                              – ian
                              May 26 at 18:59





                              @PhelypeOleinik Thank you for the explanation!

                              – ian
                              May 26 at 18:59

















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