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Math Help - Inequalities

  1. #1
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    Exclamation Inequalities

    If y < -3 , then |y+3| / y + 3 = ?


    what are the steps? i thought it would be one but that doesnt make sense because y < -3
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  2. #2
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    Re: Inequalities

    Quote Originally Posted by habibixox View Post
    If y < -3 , then |y+3| / (y + 3) = ?
    If y<-3 then |y+3|=-(y+3) thus \frac{|y+3|}{y+3}=~? if y<-3.
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  3. #3
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    Re: Inequalities

    -1??
    but that won't make much sense since -1>-3
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  4. #4
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    Re: Inequalities

    Quote Originally Posted by habibixox View Post
    -1??
    but that won't make much sense since -1>-3
    -1 is correct.
    All you know is y<-3.

    If fact, \frac{{\left| {y + 3} \right|}}{{y + 3}} = \left\{ \begin{gathered}   - 1,\;y <  - 3 \hfill \\  \;\;1,\;\;y >  - 3 \hfill \\ \end{gathered}  \right.
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  5. #5
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    Re: Inequalities

    thanks so much
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