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Today, 06:56

Solve the inequality:

-4| 5x+12| - 13> - 44

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Answers (1)
  1. Today, 09:15
    0
    -79/20 < x< - 17/20

    Step-by-step explanation:

    -4| 5x+12| - 13> - 44

    The first step is to add 13 to each side

    -4| 5x+12| - 13+13> - 44+13

    -4| 5x+12| > - 31

    Divide each side by - 4. Remember when dividing by a negative to flip the inequality

    -4/-4| 5x+12| < - 31/-4

    | 5x+12| < 31/4

    Now we will have 2 equations, one positive and one negative. Remember to flip the inequality for the negative

    5x+12 - 31/4

    Subtract 12 from each side

    5x+12-12 - 31/4-12

    5x - 31/4-12

    Get a common denominator of 4

    5x - 31/4-48/4

    5x - 79/4

    Divide each side by 5

    x - 79/20

    -79/20 < x< - 17/20
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