Question

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

Answer 1

D. 3x + 2 < –7 or 3x + 2 > 7

Explanation:

Aaron solved an inequality and then graphed the solution as shown below. Anwser: A

A student found the solution below for the given inequality lx-9l less than 4

Anwser: D

Amber is solving the inequality lx+6l - 12 less than 13 by graphing. Which equations should Amber graph?

Anwser: A

What is the solution, if any, to the inequality l3xl greater than or equal to 0?

Anwser: A

Which compound inequality is equivalent to lax-bl greater than c for all real numbers a, b, and c, where c is greater than or equal to 0?

Anwser: D

Which compound inequality is equivalent to the absolute value inequality lbl greater than 6?

Anwser: D

What is another way to write the absolute value inequality lpl less than or equal to 12?

Anwser: A

What is the solution to the inequality lx-4l less than 3?

Anwser: B

Which inequality is equivalent to lx-4l less than 9?

Anwser: B

Hope This Helps!

Answer 2

x>
`(5)/(3)`.

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,

`(3x)/(3) > (5)/(3)`

x>
`(5)/(3)`

Therefore, we can see that on the inequality |3x+2|>7, we find x>
`(5)/(3)` compound.