You can put this solution on YOUR website! To do absolute value inequalities, we break up the problem into two branches...we remove the absolute value to get
2x-5 > 9 and 2x-5 < -9 (notice we switch both on the one on the right)
and solve these independently...we get
2x > 14 and 2x < -4
x > 7 and x < -2
In interval notation we have
(-inf, -2) U (7, inf)