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solve the inequality and write the answer using interval notation


  • precalculus -

    If x+4 > 0, we can multiply and not change the direction of the inequality:

    4x^2 + 15x -54 > 0
    (4x-9)(x+6) > 0

    for x > 9/4 that is true

    If x+4 < 0, e change the direction of the inequality, and have

    (4x-9)(x+6) < 0
    Unfortunately, whe have no values for x that satisfy the condition and the inequality.

    So, x in (9/4,oo) is the only interval

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