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Any x that satisfies x < 5 must be ? 5 ? ? -5 > Next Question

Any x that satisfies x < 5 must be ? 5 ? ? -5 > Next Question

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Question:** Any \( x \) that satisfies \( |x| < 5 \) must be \(\ ?\ < x < \ ?\). **Answer Choices:** - 5 - \(-5\) **Explanation:** This problem involves understanding absolute value inequalities. The inequality \( |x| < 5 \) indicates that the distance between \( x \) and 0 on a number line is less than 5. Therefore, \( x \) must be greater than \(-5\) and less than 5. The correct solution for the inequality is: \(-5 < x < 5\). To verify, substitute the answer choices appropriately: 1. Insert \(-5\) in the first blank: \(-5 < x \). 2. Insert \(5\) in the second blank: \(x < 5\). Thus, the expression \( -5 < x < 5 \) correctly represents the solution set for the inequality \( |x| < 5 \).
Transcribed Image Text:**Question:** Any \( x \) that satisfies \( |x| < 5 \) must be \(\ ?\ < x < \ ?\). **Answer Choices:** - 5 - \(-5\) **Explanation:** This problem involves understanding absolute value inequalities. The inequality \( |x| < 5 \) indicates that the distance between \( x \) and 0 on a number line is less than 5. Therefore, \( x \) must be greater than \(-5\) and less than 5. The correct solution for the inequality is: \(-5 < x < 5\). To verify, substitute the answer choices appropriately: 1. Insert \(-5\) in the first blank: \(-5 < x \). 2. Insert \(5\) in the second blank: \(x < 5\). Thus, the expression \( -5 < x < 5 \) correctly represents the solution set for the inequality \( |x| < 5 \).
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As we know that,

x=-x  when x<0x=x  when x≥0

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