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Math Help - Modulus function (Algebraic method)

  1. #1
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    Modulus function (Algebraic method)

    Solve |\frac{1}{a}|<1, a is a non-zero constant.

    I solved this using graphical method and the answer is a>1 or a<-1 but I tried using the algebraic method and didn't got the same answer!

    |\frac{1}{a}|<1

    -1<\frac{1}{a}<1

    -1<a<1

    What is wrong with my workings?
    Last edited by Punch; December 7th 2011 at 12:29 AM.
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  2. #2
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    Crna Gora
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    Re: Modulus function (Algebraic method)

    Quote Originally Posted by Punch View Post
    Solve |\frac{1}{a}|<1, a is a non-zero constant.

    I solved this using graphical method and the answer is a>1 or a<-1 but I tried using the algebraic method and didn't got the same answer!

    |\frac{1}{a}|<1

    -1<\frac{1}{a}<1

    -1<a<1

    What is wrong with my workings?
    \left|\frac{1}{a}\right|< 1 \Rightarrow \frac{|1|}{|a|} < 1 \Rightarrow |1|<|a| \Rightarrow |a| > 1
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