# How do you solve #|x + 3| = (x-2)#?

##### 2 Answers

Apr 14, 2017

#### Answer:

No solution

#### Explanation:

Since absolute values are always nonnegative,

which means that

So, the equation becomes (by simply removing the absolute value sign)

By subtracting

which is false.

Hence, there is no solution.

I hope that this was clear.

Apr 14, 2017

#### Answer:

No real solution.

#### Explanation:

We have

and in both cases there is not a real solution for the equations.