Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 3 - Solving Inequalities - Chapter Review - 3-4 Solving Multi-Step Inequalities: 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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