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23 August, 16:04

What is the solution to the compound inequality 5x + 7 > - 8 and 3x + 7 ≤ 19?

it is confusing me

+3
Answers (1)
  1. 23 August, 17:08
    0
    Solve for x in each

    5x+7>-8

    minus 7

    5x>-15

    divide both sides by 5

    x>-3

    3x+7≤19

    minus 7 both sides

    3x≤12

    divide 3

    x≤4

    we have

    x>-3 and x≤4

    compound is any value that satisfys both

    x>-3 and x≤4

    -3
    -3 to 4, not including - 3, but including 4
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