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algebra

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solve: (x+2)(x-11)(x+1)>0

  • algebra - ,

    critical values: x = -2, -1, and 11

    pick any number <-2, say x=-5
    (-)(-)(-) > 0 ? NO
    pick any number between -2 and -1, say x = -1.5
    (+)(-)(-) > 0 ? YES
    pick any number between -1 and 11 , say x=0
    (+)(-)(=) > 0 ? , NO
    pick any number > 11 , say x=20
    (+)(+)(+) > 0 ?, YES

    so
    -2 < x < -1 OR x > 11

    OR

    look at the graph of y = (x+2)(x-11)(x+1)
    and the above solution is obvious.

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