Question

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

Answer 1

Answer:

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

Step-by-step 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.