Show Interval(s) On Real Number Line

Discussion in 'Algebra' started by nycmathguy, Jan 7, 2022.

  1. nycmathguy

    nycmathguy

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    Can you do 56 and 60 in step by step fashion? Thank you.


    Screenshot_20220106-201101_Samsung Notes.jpg
     
    nycmathguy, Jan 7, 2022
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  2. nycmathguy

    MathLover1

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    56.
    [​IMG]


    [​IMG]


    60.
    [​IMG]

    [​IMG]
     
    MathLover1, Jan 7, 2022
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  3. nycmathguy

    nycmathguy

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    What is the algebraic way to do solve 56 and 60?
     
    nycmathguy, Jan 7, 2022
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  4. nycmathguy

    MathLover1

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    56.
    |x-1| <=1/2 -> abs value means the number or expression inside could be positive or negative

    so, if positive:
    x-1<=1/2
    x<=1/2+1
    x<=1.5

    if negative:
    -(x-1)<=1/2
    -x+1<=1/2
    -1/2+1<=x
    x>=1/2

    same way you do 60
     
    MathLover1, Jan 7, 2022
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  5. nycmathguy

    nycmathguy

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    Piece of cake.
     
    nycmathguy, Jan 7, 2022
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