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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 2: Q. 443 (page 208)

In the following exercises, solve.
$3 |x - 4| + 2 = 11$

Short Answer

Expert verified

The solution is $x = 1$ or $x = 7$

Step by step solution

01

Step 1. Given information

Absolute value equation: $3 |x - 4| + 2 = 11$

02

Step 2. Calculation

We have,

$3 |x - 4| + 2 = 11$

$3 |x - 4| + 2 - 2 = 11 - 2$

$3 |x - 4| = 9$

$\frac{3 |x - 4|}{3} = \frac{9}{3}$

$|x - 4| = 3$

localid="1644755555164" $x - 4 = - 3$ or localid="1644755563249" $x - 4 = 3$

$x - 4 + 4 = - 3 + 4$ or $x - 4 + 4 = 3 + 4$

$x = 1$ or $x = 7$

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Most popular questions from this chapter

A rectangular rug has perimeter 240 inches. The length is 12 inches more than twice the width. Find the length and width of the rug.

Classify the equation as a conditional equation, an identity, or a contradiction and then state the solution : $4 (7 d + 18) = 13 (3 d - 2) - 11 d$

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Classify the below equation as a conditional equation, an identity, or a contradiction, and then state the solution.

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See all solutions

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