college algebra

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Solve absolute value inequality, use interval notations.

|4+2x|-3>

I know the answer is x>2 or x<-6
But I'm unsure how to solve it.

Thanks

  • college algebra -

    since |x| = x if x >= 0, and -x if x<0, either

    (4+2x) - 3 > 5 or
    -(4+2x) - 3 > 5

    so either
    4+2x-3 > 5
    2x+1 > 5
    2x > 4
    x > 2

    or

    -4-2x-3 > 5
    -2x - 7 > 5
    -2x > 12
    x < -6

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