91.0k views
13 votes
Solve |x — 6| = 8.

X
OA.
A. x 14 and x = -2
X=
OB. x = -14 and x = 2
OC. x =
14 and x = -14
D. x =
-14 and x = -2

Solve |x — 6| = 8. X OA. A. x 14 and x = -2 X= OB. x = -14 and x = 2 OC. x = 14 and-example-1
User JSobell
by
7.8k points

2 Answers

9 votes

Answer: A. x = 14, x = -2

Explanation:

|x-6| = 8

this means x = 6+8 and x = 6-8

therefore, x = 14, x = -2

User Max Meijer
by
8.4k points
8 votes

Answer: Choice A

x = 14 and x = -2

===========================================

Work Shown:


|x-6| = 8\\\\x-6 = 8 \ \text{ or } \ x-6 = -8\\\\x = 8+6 \ \text{ or } \ x = -8+6\\\\x = 14 \ \text{ or } \ x = -2\\\\

-------------

Checking the answer x = 14


|x-6| = 8\\\\|14-6| = 8\\\\|8| = 8\\\\8 = 8\\\\

That solution is confirmed.

Repeat for x = -2


|x-6| = 8\\\\|-2-6| = 8\\\\|-8| = 8\\\\8 = 8\\\\

The second solution is confirmed.

User Cederlof
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories