Verified answer

|x-2| means x-2 or -(x-2)

so you have to solve both inequalities

first one:

0 < x -2 < 4

2 < x < 6 by adding 2

second one:

0 < -(x - 2) < 4

0 > x - 2 > -4 by multiplying by -1

2 > x > -2 by adding 2

So the solution set is both solutions, or

2 < x < 6 and -2 < x < 2

Notice that 2 is not included

2<x<6