The solution is the region between the lines 2x-y-3=0 and 2x-y+3=0.
Just to give yet another way:
Look at . . Taking the positive sign, . Taking the negative sign, . Those are the two parallel lines red dog gives. I notice that x= 0 gives y= 3 and y= -3 for the two lines so (0,0) is between the two lines. Also, so that point, between the two lines satisfies the inequality. That tells us that every point between the two lines satisfies the inequality, again, as red dog said.