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March 27, 2017

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Solve the following inequality . Write your solution in interval notations. x+3/x-3<0.

  • Pre-Cal. - ,

    since (x+3)/(x-3) = 1 + 6/(x-3)

    1 + 6/(x-3) < 0
    6/(x-3) < -1

    if (x-3) > 0, that is, x > 3
    6 < 3-x
    x < -3
    no good, since we specified x > 3

    If (x-3) < 0, that is, x < 3
    6 > 3-x
    x > -3
    so, the solution is (-3,3)

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