Question

What is the solution set of |x – 2| + 4 = 3?

Answer 1

First step is subtract the 4 from both sides, so you have the absolute value of the expression by itself on the left side equaling a number on the right side
The next step is to get rid of the absolute value signs like this.
Set up two equations separated by the word "or".
The first equation is just what is inside the absolute value signs equal to the number on the right side.
The second equation is what is inside the absolute value signs equal to the negative of the number on the right side.
Solve both equations and use the word "or" in between the two solutions.

Answer 2

The above is the usual way of solving these problems, but notice here what happens when you subtract the 4 from both sides. The right side will be negative. Since an absolute value can never be negative, there is no solution.

Answer 3

thanks