Examples:

1)
Solve 2x - 5 < 12

    Solution:
    2x - 5 < 12
    (2x - 5) + 5 < 12 + 5
    2x < 17
    (1/2)2x < (1/2)17
    x < 17/2
    The solution set of the inequality is {x.:.x.<.17/2} which is read as "the set of all x such that x is less than 17/2".




2)
Solve 13 - 3x >= 10

    Solution:
    13 - 3x >= 10
    -3x >= 10 - 13
    -3x >= -3
    (-1/3)(-3x) <= (-1/3)(-3) (Recall - rule 5)
    x <= 1
    The solution set is {x : x <= 1}



3)
Solve 14(x-2) <= 132 - 281x

    Solution:
    14(x-2) <= 132 - 281x
    14x - 28 <= 132 - 281x
    14x <= 160 - 281x
    295x <= 160
    x <= 160/295
    x <= 32/59
    The solution set is {x : x <= 32/59}.
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