College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 1 - Section 1.7 - Inequalities - 1.7 Exercises - Page 146: 23

Answer

$$x\leq\frac{48}{7}$$ $$(-\infty, \frac{48}{7}]$$

Work Step by Step

$$\frac{1}{3}x+\frac{2}{5}x-\frac{1}{2}x-\frac{3}{2}\leq\frac{1}{10}$$ $$30(\frac{1}{3}x+\frac{2}{5}x-\frac{1}{2}x-\frac{3}{2})\leq(30)(\frac{1}{10})$$ $$10x+12x-15x\leq3+45$$ $$7x\leq48$$ $$x\leq\frac{48}{7}$$
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