Question

Solve the following inequality algebraically.

Answer 1

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