What is the solution to 3|–3x + 9| = –18?

x = –5
x = 5 or x = 1
x = –5 or x = 1
no solution

Option 4 - No solution exist    

Step-by-step explanation:

Given : Expression

To find : What is the solution of the expression?

Solution :

Step 1 - Write the expression

Step 2 - Divide the expression by 3 both side,

Step 3 - Break down the problem into two equation,

....(1)

....(2)

Step 4 - Solving equation (1),

Step 4 - Solving equation (2),

The values of x are x=1 and 5.

Step 5 - Now, We check the points in the equation

At x=1

At x=5

The solution does not exist.

At x=1

The solution does not exist.

Therefore, The solution of the given expression does not exist.

So, Option 4 is correct.