Question 1033788
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)