Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 3 - Solving Inequalities - 3-6 Compound Inequalities - Lesson Check - Page 204: 7


x≤7 or x>7 (−$\infty$, $\infty$)

Work Step by Step

Solve each inequality. 3x−7≤14⟶ add 7 to each side 3x−7+7≤14+7⟶ add 3x≤21⟶ divide each side by 3 3x÷3≤21÷3⟶ divide x≤7 OR 4x−8>20⟶ add 8 to each side 4x−8+8>20+8⟶ add 4x>28⟶ divide each side by 4 4x÷4>28÷4⟶ divide x>7 Since x can be less than 7, equal to 7, or greater than 7, the solution set for x is all real numbers.
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