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Math Help - [SOLVED] algebra

  1. #1
    dyr
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    [SOLVED] algebra

    how do you solve 1/x=1/t + 1/r ??


    and -4<2 (x-3)< 8
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  2. #2
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    Quote Originally Posted by dyr
    how do you solve 1/x=1/t + 1/r ??


    and -4<2 (x-3)< 8
    Hello,

    to 1.: You need a common denominator (which is here r*t):
    \frac{1}{x}=\frac{r+t}{r \cdot t}\ \Rightarrow \ x=\frac{r \cdot t}{r+t}

    to 2.: Split the inequalities into two single inequalities:
     -4<2 (x-3)< 8\ \Leftrightarrow \ -4<2(x-3)\ \  \wedge \ \ 2(x-3)<8

     1 < x\  \wedge \ x < 7\ \Leftrightarrow \ 1<x<7

    Greetings

    EB
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