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9 August, 03:41

Solve the inequality: (x+3) (x-4) <-12

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  1. 9 August, 04:54
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    Step-by-step explanation:

    (x+3) (x-4) <-12

    FOIL

    x^2 - 4x+3x - 12 <-12

    x^2 - x - 12 <-12

    Add 12 to each side

    x^2 - x - 12+12 <-12+12

    x^2 - x <0

    Factor out an x

    x (x-1) <0

    Using the zero product property

    x (x-1) = 0

    x=0 x-1=0

    x=0 x=1

    Check the ranges

    x<0

    x (x-1) <0

    - * - >0

    False

    0
    x (x-1) <0

    + * - <0

    True

    x>1

    x (x-1) <0

    + * + >0

    False
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