Which of the following are solutions to | x + 4 | = 3x-5

X = 9/2

X = 4.5

X = 4 1/2

Answer: 9/2

Step-by-step explanation:

1. Break down the problem into these 2 equations.

x+4=3x-5

- (x+4) = 3x-5

2. Solve the 1st equation: x+4=3x-5.

x=9/2

3. Solve the 2nd equation: - (x+4) = 3x-5

x=1/4

4. Collect all solutions.

x=1/4,9/2

5. Check solution

When x=1/4 , the original equation ∣x+4∣=3x-5 does not hold true.

We will drop x=1/4 from the solution set.

6. Therefore,

x=9/2