Question

Which compound inequality can be used to solve the inequality |3x+2>7|?
A.-7<3x+2>7
B.-7>3x+2>7
C.3x + 2 > -7 or 3x + 2 > 7
D.3x + 2 < -7 or 3x + 2 > 7

Answer 1

option D is correct.

because |a|>7 then a<-7 or a>7

Answer 2

Concept

A compound inequality is created when two simple inequalities are combined. The purpose of this article is to review how to graph and solve compound inequalities.

Given

The inequality |3x+2|>7

To find

To solve the given inequality, which compounds inequality can be used?

Solution

The inequality is |3x+2|>7

Solving by absolute value

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

since compound inequality are  $3x+2 > 7$ or $3x+2 < -7$.

Hence option d is the correct option.