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

$2\gt m$

#### Work Step by Step

$-\frac{3}{4}\lt-\frac{3}{8}m\longrightarrow$ multiply both sides by $-\frac{8}{3}$; reverse the inequality sign $-\frac{3}{4}\times-\frac{8}{3}\gt-\frac{3}{8}m\times-\frac{8}{3}\longrightarrow$ multiply $2\gt m$ Check the inequality. $-\frac{3}{4}\overset?\lt-\frac{3}{8}(-8)$ $-\frac{3}{4}\lt3\checkmark$ Since 2 is not included in the solution, the endpoint of the graph is an open circle.

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