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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Originally Posted by habibixox If y < -3 , then |y+3| / (y + 3) = ? If $\displaystyle y<-3$ then $\displaystyle |y+3|=-(y+3)$ thus $\displaystyle \frac{|y+3|}{y+3}=~?$ if $\displaystyle y<-3$.
-1?? but that won't make much sense since -1>-3
Originally Posted by habibixox -1?? but that won't make much sense since -1>-3 $\displaystyle -1$ is correct. All you know is $\displaystyle y<-3$. If fact, $\displaystyle \frac{{\left| {y + 3} \right|}}{{y + 3}} = \left\{ \begin{gathered} - 1,\;y < - 3 \hfill \\ \;\;1,\;\;y > - 3 \hfill \\ \end{gathered} \right.$
thanks so much