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-2|3-2r|<-34 how do you solve this?

User Luzo
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|a|<b\iff a< b\ and\ a > -b\\\\|a|>b\iff a>b\ or\ a<-b


-2|3-2r|<-34\qquad\text{change the signs}\\\\2|3-2r|>34\qquad\text{divide both sides by 2}\\\\|3-2r|>17\iff3-2r>17\ or\ 3-2r<-17\qquad\text{subtract 3 from both sides}\\\\-2r>14\ or\ -2r<-20\qquad\text{change the signs}\\\\2r<-14\ or\ 2r>20\qquad\text{divide both sides by 2}\\\\\boxeD{r<-7\ or\ r>10}

-2|3-2r|<-34 how do you solve this?-example-1
User Akemi
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