Solve absolute value inequality. |2(x - 1) + 4 | ≤ 8

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 12T: Solve the rational inequality x6x2x5
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Solve absolute value inequality.

|2(x - 1) + 4 | ≤ 8

Expert Solution
Step 1

We have to solve the absolute value inequality:

2x-1+48

We know for any modulus function,

fx=fx   if fx0-fx   if fx<0

We also know that if fxa then it must satisfy that

-afxa

Applying above condition for given inequality,

-afxa-82x-1+48

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