Explanation Given Information: Given equation is | 2 − 0.2 x | = 2 . Formula used: Let k be a positive real number. Then, to solve the equation | a x + b | = k is same as solving the compound equations; a x + b = k or a x + b = − k Calculation: Consider the equation | 2 − 0.2 x | = 2 . The solution of the above expression is same as solving the compound equations; 2 − 0.2 x = 2 or 2 − 0.2 x = − 2 Solve the equation 2 − 0.2 x = − 2 ; Add − 2 on both sides of the equation. 2 − 0.2 x − 2 = − 2 − 2 2 − 0.2 x − 2 = − 4 − 0.2 x = − 4 Divide by − 0.2 on both sides of the equation. − 0.2 x − 0.2 = − 4 − 0.2 x = 20 Now, solve the equation 2 − 0.2 x = 2 ; Add − 2 on both sides of the equation. 2 − 0.2 x − 2 = 2 − 2 2 − 0.2 x − 2 = 0 − 0.2 x = 0 Divide by − 0

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 77E

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To calculate: The solution set of the equation | 2−0.2x |=2 and graph the solution set.

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Chapter 8.3, Problem 76E

Chapter 8.3, Problem 78E

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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 equation | 2 − 0.2 x | = 2 and graph the solution set.

Solution Summary: The author calculates the solution set of the equation left|2-0.2xright|=2 and graphs it.

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To calculate: The solution set of the equation | 2−0.2x |=2 and graph the solution set.

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Chapter 8 Solutions