Question

solve for m.
-14 < 9m - 5 ≤ 13
write your answer as a compound inequality with integers.

Explanation:

Step1: Add 5 to all parts

Add 5 to - 14, 9m - 5 and 13.
$-14 + 5<9m-5 + 5\leqslant13 + 5$
$-9<9m\leqslant18$

Step2: Divide all parts by 9

Divide - 9, 9m and 18 by 9.
$\frac{-9}{9}<\frac{9m}{9}\leqslant\frac{18}{9}$
$-1

Answer:

$-1