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Alexus [3.1K]
3 years ago
14

This problem has two answer to it, Help!

Mathematics
1 answer:
OverLord2011 [107]3 years ago
6 0

as you should already know, an absolute value expression, is in effect a piece-wise expression, since it has a ± versions.


\bf \cfrac{|-2-2r|}{3}=4\implies  \begin{cases} \cfrac{+(-2-2r)}{3}=4\\\\ \cfrac{-(-2-2r)}{3}=4 \end{cases}\\\\[-0.35em] ~\dotfill\\\\ \cfrac{-2-2r}{3}=4\implies -2-2r=12\implies -2-12=2r\implies -14=2r \\\\\\ \cfrac{-14}{2}=r\implies \boxed{-7=r}\\\\[-0.35em] ~\dotfill\\\\ \cfrac{-(-2-2r)}{3}=4\implies \cfrac{-2-2r}{3}=-4\implies -2-2r=-12 \\\\\\ -2+12=2r\implies 10=2r\implies \cfrac{10}{2}=r\implies \boxed{5=r}

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