Explanation Given Information: The provided inequality is | − 8 + x | ≤ 5 . 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 | − 8 + x | ≤ 5 . This absolute value inequality is rewritten as; − 5 ≤ − 8 + x ≤ 5 Add 8 on both sides of the inequality; − 5 + 8 ≤ − 8 + x + 8 ≤ 5 + 8 3 ≤ x ≤ 13 The solution set of the inequality | − 8 + x | ≤ 5 is [ 3 , 13 ]

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Author: Lial

Publisher: PEARSON C

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Chapter 8.3, Problem 65E

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To calculate: The solution set of the inequality |−8+x|≤5.

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Chapter 8.3, Problem 64E

Chapter 8.3, Problem 66E

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Chapter 8 Solutions

INTEGRATED REV.F/BEG.+INT.ALG.W/ACC.>C<

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 | − 8 + x | ≤ 5 .

Solution Summary: The author calculates the solution set of the inequality left|-8+xright|le 5.

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To calculate: The solution set of the inequality |−8+x|≤5.

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Chapter 8 Solutions