Question

|3x + 3|-5> 4
please help me it’s due at 3:30

Answer 1

x > 2 or x < −4

Explanation:

Let's solve your inequality step-by-step.

|3x + 3| −5 > 4

Step 1: Add 5 to both sides.

|3x + 3| −5 + 5 > 4 + 5

|3x + 3| > 9

Step 2: Solve Absolute Value.

|3x + 3| > 9

We know either3x + 3 > 9 or 3x + 3 < −9

3x + 3 > 9(Possibility 1)

3x + 3 −3 > 9 −3(Subtract 3 from both sides)

3x > 6

3x > 6 (Divide both sides by 3)

3 3

x > 2

3x + 3 < −9(Possibility 2)

3x + 3 −3 < −9 −3(Subtract 3 from both sides)

3x < −12

3x < -12 (Divide both sides by 3)

3 3

x < −4