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Math Help - Inequality

  1. #1
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    Inequality

    Solve -\frac{1}{m}<\frac{1}{2} given that m<0
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  2. #2
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    Re: Inequality

    1/m>-1/2, So, m<-2 is the soln.
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  3. #3
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    Re: Inequality

    Quote Originally Posted by jishnuray View Post
    1/m>-1/2, So, m<-2 is the soln.
    1/m>-1/2
    2>-m
    m>-2

    shouldnt it be m>-2
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  4. #4
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    Re: Inequality

    If it is m>-2. take m=-1 and see that the original equation then gives 1<1/2 which is vacuosly not true.
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  5. #5
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    Re: Inequality

    Quote Originally Posted by Punch View Post
    1/m>-1/2
    2>-m
    You have multiplied each side of the inequality by 2m. Since you are told that m is negative this will reverse the direction of the inequality: 2< -m.

    m>-2

    shouldnt it be m>-2
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