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Solve the equation. |4 - 2x| - 5 = 5 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set is (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) O B. The solution is all real numbers. O C. The solution is the empty set.

Solve the equation. |4 - 2x| - 5 = 5 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set is (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) O B. The solution is all real numbers. O C. The solution is the empty set.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section: Chapter Questions
Problem 18CR
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Solve the equation. |4 - 2x| - 5 = 5 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set is (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) O B. The solution is all real numbers. O C. The solution is the empty set.
Transcribed Image Text:Solve the equation. |4 - 2x| - 5 = 5 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set is (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) O B. The solution is all real numbers. O C. The solution is the empty set.
Expert Solution
Step 1

Given :-

|4 - 2x| - 5 = 5

|4 - 2x| = 10

For The Negative Case :

- (4 - 2x) = 10

2x - 4 = 10

2x = 14

x = 7

For The Positive Case :

(4 - 2x) = 10

- 2x = 6

x = -3

So, x = -3,7

The Solution set is {-3,7}

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