Question

Help!!!! Number 4 right answer

Answer 1

The answer would be 0 solutions.

Here, we see |x+6| = 2.
Oh wow! A foreign object!
|x+6|... two lines... what is that?

That is called absolute value. Whatever is inside the two lines, must have a positive answer!

Let's pretend we have a machine that has this absolute value function activated.
What we put in, we must get a positive answer out.

Let's put in -6.

-6 ==> BEEP BEEP ==> 6

Let's try 3.

3 ==> BEEP BEEP ==>3

Whatever we put in, if it is negative or positive, what comes out is always positive.  

So, for how many values x is |x+6|=-2 true?

None, because the answer must be positive! 
-2 is not positive, 2 is.