By definition, the absolute value | x | is the distance of x from zero. In this case: | x | > 3 The solution is going to be all the points that are greater than three units away from zero.
For that reason the solution is -3>x>3. That is to say, all values greater than 3 or less than -3 are solutions.
This is because the absolute zero is how many numbers away from zero the number is. since the number is 3, anything over 3 and under -3 is what is included. Since the circle around 3 is not filled in, 3 is not included thus validating the answer.
