math am i right?

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Solve
(x+18)(x-18)(x+12)>0
Solution set is {x|-8,-12}
Is this correct?

  • math am i right? -

    The leading term of the cubic is positive, so for x->∞, the function f(x) approaches ∞.
    There should in fact be two intervals where f(x) is >0, between the two smaller zeroes, and when x>the largest zero.
    If you plot the function, it will make it clear.

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