Explanation Given Information: The provided inequality is | 2 x − 1 | < 7 . Formula used: Let k be a positive real number. Then, to solve the inequality | a x + b | < k is same as solving the three-part inequality; − k < a x + b < k Calculation: Consider the inequality | 2 x − 1 | < 7 ; This absolute value inequality is rewritten as; − 7 < 2 x − 1 < 7 Consider the inequality − 7 < 2 x − 1 ; Add 1 on both side; − 7 + 1 < 2 x − 1 + 1 − 6 < 2 x Divide by 2, to get; − 6 2 < 2 x 2 − 3 < x …… (1) Now consider the inequality 2 x − 1 < 7 ; Add 1 on both side; 2 x − 1 + 1 < 7 + 1 2 x

Beginning and Intermediate Algebra (6th Edition)

6th Edition

ISBN: 9780321969163

Author: Margaret L. Lial, John Hornsby, Terry McGinnis

Publisher: PEARSON

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Chapter 8.3, Problem 58E

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To calculate: The solution set of the inequality |2x−1|<7 and graph the solution set.

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Chapter 8.3, Problem 57E

Chapter 8.3, Problem 59E

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Chapter 8 Solutions

Beginning and Intermediate Algebra (6th Edition)

Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E Ch. 8.1 - Solve each inequality. Give the solution set in...Ch. 8.1 - Prob. 10E

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The solution set of the inequality | 2 x − 1 | < 7 and graph the solution set.

Solution Summary: The author calculates the solution set of the inequality left|2x-1right|7 and graphs it.

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To calculate: The solution set of the inequality |2x−1|<7 and graph the solution set.

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Chapter 8 Solutions

The solution set of the inequality | 2 x − 1 | &lt; 7 and graph the solution set.

Solution Summary: The author calculates the solution set of the inequality left|2x-1right|7 and graphs it.

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To calculate: The solution set of the inequality |2x−1|<7 and graph the solution set.

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Chapter 8 Solutions

The solution set of the inequality | 2 x − 1 | < 7 and graph the solution set.