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Answers and Explanations - Solve Inequalities Worksheet

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  • Original Worksheet

    1. x - 10 > 10

    x - 10 + 10 > 10 + 10
    x > 20


    2. p + 3 ≤ 16

    p + 3 - 3 ≤ 16 - 3
    p
    ≤ 13



    3. p + 12 < 2p - 7

    p + 12 - 12 < 2p - 7 - 12
    p
    < 2p - 19
    p
    - 2p < 2p - 19 - 2p
    -1p < -19
    -1p/-1 > -19/-1

    p > 19


    4. -y + 5 ≤ -11

    -1y + 5 - 5 ≤ -11 - 5
    -1y ≤ -16

    y ≥ 16


    5. j - 21 < 21

    j - 21 + 21 < 21 + 21

    j < 42

     

    6. 3(y - 5) ≥ 0

    3(y - 5)/3 ≥ 0/3
    y
    - 5 ≥ 0
    y
    - 5 + 5 ≥ 0 + 5

    y ≥ 5

     

    7. 3(x - 11) < 6x

    3(x - 11)/3 < 6x/3
    x
    - 11 < 2x
    x
    - 11 - x < 2x - x

    -11 < x

     

    8. -11p + p > -80

    -10p > -80
    -10p/-10 < -80/-10

    p < 8

     

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