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Algebra

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Solve each inequality algebraically:how do I solve this problem? What is the answer? Show the work.

x+4/x-2 less than equal 1 thanks for your help

  • Algebra -

    (x+4)/(x-2) <= 1

    If x-2>0, then
    x+4 <= x-2
    4 < -2
    no solutions there

    If x-2 < 0,
    x+4 >= x-2
    4 >= -2
    so all x's are a solution. But our condition was that x-2 < 0, so
    x < 2

    Makes sense, since there is a horizontal asymptote at y = 1 and a vertical asymptote at x = 2

  • Algebra -

    6 is less than equal 0

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