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Math Help - solve the inequality

  1. #1
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    solve the inequality

    Solve the inequality

    (4-2x) / (x+5) <= 2

    is this correct??

    4 - 2x <= 2(x + 5)
    4 - 2x <= 2x + 10
    4 <= 4x + 10
    -6 <= 4x
    -6/4 <= x

    x => -3/2
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  2. #2
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    That is correct.
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  3. #3
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    ok thanks
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  4. #4
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    that is not correct!

    for example number -6 also solves the inequality but isn't contained in your result.
    first step is wrong. you have to distinguish cases x>= -5 and x< -5.
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  5. #5
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    oh ok
    so should my answer be
    x<5, x=>-3/2
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  6. #6
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    answer should be: x< -5 or x \ge -\frac{3}{2}
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  7. #7
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    ok awesome
    thats what i ment to right
    forgot the negative in front of the 5
    thanks heaps
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