Question

Which compound inequality can be used to solve the inequality |3x+2|>7

Answer 1

X>5/3 or X<-3.
Interval notation be (-Infinity, -3) U (5/3, infinity)

Answer 2

Answer:

x>$\frac{5}{3}$.

Step-by-step explanation:

We have given an  inequality |3x+2|>7.

We need to solve this inequality |3x+2|>7, and find the compound which can solve this.

We know that,  inequality :

|3x+2|>7

Subtrating 2 from both sides,

|3x+2-2|>7-2

3x>5

Dividing by 3 both sides,

$\frac{3x}{3} > \frac{5}{3}$

x>$\frac{5}{3}$

Therefore, we can see that on the inequality |3x+2|>7, we find x>$\frac{5}{3}$ compound.