218k views
4 votes
What is the solution to the following inequality?

|3x - 8| <2

VIEW IMAGE FOR ANSWER CHOICES!

What is the solution to the following inequality? |3x - 8| <2 VIEW IMAGE FOR ANSWER-example-1

2 Answers

3 votes

Answer:

The correct choice is option A. 2 < x < 10/3

User Joeri Hendrickx
by
4.5k points
4 votes

Answer:

The correct choice is option A. 2 < x < 10/3

Explanation:

|3x - 8| < 2

= -2 < |3x - 8| < 2

3x - 8 > -2 and 3x - 8 < 2

+8 +8 +8 +8

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

3x > 6 3x < 10

/3 /3 /3 /3

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

x > 2 x < 10/3

= 2 < x < 10/3

User German Cocca
by
4.3k points