Question

What are the bounds of the solution to the inequality -9 m +2 > -36?

Answer 1

We have the following:

$-9|m+2|\ge-36$

solving for m

$\begin{gathered} -\frac{9}{9}|m+2|\ge-\frac{36}{9} \\ |m+2|\ge-4 \\ m+2\ge-4 \\ m+2\leq4 \\ -4\leq m+2\leq4 \\ -4-2\leq m+2-2\leq4-2 \\ -6\leq m\leq2 \\ \lbrack-6,2\rbrack \end{gathered}$