① when x > 3: then the original inequality is equivalent to

x-3+x+2>5

Solution: x > 3 and then intersect with the previous one.

Still: x > 3

②-2 < x < 3: then the original inequality is equivalent to

3-x+2+x>5

Solution: x∈ empty set intersects with the previous one again.

X is an empty set.

③ x

3 x 2 x > 5

Solution: x

Still: x

In the combination of these three situations: Germany

X > 3 or x

This is a general method to solve inequalities with absolute values. Generally speaking, this method can be used to solve the problem, and your teacher said that if you draw the number axis, it is equivalent to the distance from these numbers to 3 or -2 being greater than 5 in a certain interval, so it is also the above solution from the number axis. If you want to draw several axes, you usually look at the distance, but if you learn it later, you will usually use the above methods to solve big problems.