Question

Which compound inequality can be used to solve the inequality 13x+2 >7?

RE
-7 <3x+2> 7
ОООО
-7> 3x+2> 7
3x + 2 >-7 or 3x + 2 >7
3x + 2<-7 or 3x + 2 >7

Answer 1

(D)
`3x+2 < -7$ or $3x+2 >7`

Explanation:

Given the absolute inequality:
`|3x+2| >7`

When solving absolute inequalities, if the problem has a greater than sign we set up an "OR" compound inequality that looks like this:

• (Expression inside absolute value) < - (number on other side) OR
• (Expression inside absolute value) > (number on other side)

Therefore, for the absolute inequality |3x+2| >7, we have:

`3x+2 < -7$ or $3x+2 >7`

The correct option is D.