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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 2: Q. 2.142 (page 201)

Solve: $|\frac{5}{6} x + 3| + 8 = 6$

Short Answer

Expert verified

The expression has no solution.

Step by step solution

01

Step 1. Given information.

We have:

$|\frac{5}{6} x + 3| + 8 = 6$

02

Step 2. Isolate the absolute expression.

$|\frac{5}{6} x + 3| + 8 = 6$

Add $8$ to both sides:

$|\frac{5}{6} x + 3| + 8 - 8 = 6 - 8 |\frac{5}{6} x + 3| = - 2$

Absolute value cannot be less than $0 .$

No solution for $x \in R .$

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