Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.5 - Inequalities, Compound Inequalities, and Problem Solving - Problem Set 4.5: 67

Answer

All numbers greater than 7 satisfy this relationship. The solution set is {x|x $\gt$ 7 } , or (7,$\infty$) in interval notation.

Work Step by Step

Let x represent the numbers that satisfy this relationship. Three times a number means 3x. Five more than three times a number means 5 + 3x. Is greater than 26 means $\gt$ 26. So, we need to solve 5 + 3x $\gt$ 26 5 + 3x $\gt$ 26 3x $\gt$ 21 Divide both sides by 3. x $\gt$ 7 All numbers greater than 7 satisfy this relationship. The solution set is {x|x $\gt$ 7 } , or (7,$\infty$) in interval notation.
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