Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 1 - Expressions, Equations, and Inequalities - 1-5 Solving Inequalities - Practice and Problem-Solving Exercises - Page 38: 40

Answer

$$x<4 \text { or } x>12$$ Refer to the graph below.
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Work Step by Step

Solve each inequality: \begin{align*} 4x &\lt 16\\\\ \frac{4x}{4} &\lt \frac{16}{4}\\\\ x &\lt 4 \end{align*} $$\text{or}$$ \begin{align*} 12x&\gt 144\\\\ \frac{12x}{12} &\gt \frac{144}{12}\\\\ x&\gt 12 \end{align*} Graph each inequality to obtain the one in the attached image above. Since the compound inequality involves the conjunction $\text{OR}$, then the solutions to the inequality are the combined numbers of the two graphs.
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