## Algebra 1

Published by Prentice Hall

# Chapter 3 - Solving Inequalities - Chapter Review - 3-4 Solving Multi-Step Inequalities - Page 224: 33

#### Answer

$x \lt 8/3$

#### Work Step by Step

We first subtract both sides of the equation by $\frac {x}{2}$ to get the variable on one side of the equation. To cancel out a fraction that is being multiplied by a variable, we multiply by the reciprocal of the fraction. Thus, we then multiply both sides of the inequality by 2/3. $4 \gt \frac{3x}{2} \\\\ x \lt 8/3$

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