College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.5 - Solving Inequalities - 1.5 Assess Your Understanding: 70

Answer

$$[12, \infty)$$

Work Step by Step

Solve the inequality as follows: $\frac{x}{3}\ge 2+\frac{x}{6}$ $\frac{x}{3}-\frac{x}{6}\ge 2$ $\frac{2x}{6}-\frac{x}{6}\ge 2$ $\frac{x}{6}\ge 2$ $x\ge 12$ Therefore, the solution in interval notation is $[12, \infty)$. The solution can be graphed as follows:
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