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27 votes
27 votes
Solve the following inequality algebraically.

User Margaretha
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1 Answer

24 votes
24 votes

\begin{gathered} 4\mleft|x+9\mright|-2>10 \\ 4\mleft|x+9\mright|-2+2>10+2 \\ 4\mleft|x+9\mright|>12 \\ (4\left|x+9\right|)/(4)>(12)/(4) \\ \mleft|x+9\mright|>3 \\ x+9<-3\quad \mathrm{or}\quad \: x+9>3 \\ x<-12\quad \mathrm{or}\quad \: x>-6 \end{gathered}

User Wolfgang Rolke
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