Chapter 3 - Solving Inequalities - 3-3 Solving Inequalities Using Multiplication or Division - Practice and Problem-Solving Exercises - Page 181: 17

$m\lt2$

$-\frac{3}{4}\lt-\frac{3}{8}m$ Multiply both sides by $-\frac{8}{3}$. (Flip the sign) $-\frac{8}{3}\times-\frac{3}{4}\lt-\frac{3}{8}m\times-\frac{8}{3}$ Simplify: $\frac{8}{4}\gt m$ $2\gt m$ Let's check: Let m=-5 $-\frac{3}{4}\lt-\frac{3}{8}(-5)$ $-\frac{3}{4}\lt\frac{15}{8}$ The statement is true