Algebra 1: Common Core (15th Edition)

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

Chapter 3 - Solving Inequalities - 3-8 Unions and Intersections of Sets - Practice and Problem-Solving Exercises - Page 219: 29


{w | w≤−3/4}∪{w | w≥1}

Work Step by Step

|8w−1|≥7⟶ write a compound inequality using the definition of absolute values 8w−1≤−7 OR 8w−1≥7⟶ solve each inequality 8w−1≤−7⟶ add 1 to each side 8w−1+1≤−7+1⟶ add 8w≤−6⟶ divide each side by 8 8w÷8≤−6÷8⟶ divide w≤−3/4 OR 8w−1≥7⟶ add 1 to each side 8w−1+1≥7+1⟶ add 8w≥8⟶ divide each side by 8 8w÷8≥8÷8⟶ divide w≥1 A compound inequality joined by OR is the union of the two solution sets.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.