Answer:
x < 6/5 and x > 32/5
Explanation:
|x| means taking the absolute value, or the distance from 0. This means that |-8| = 8, because -8 is 8 from 0
if |14-5x|>8, 14-5x > 8, or 14-5x < -8 because the absolute value of any number less than -8 is more than 8
for 14 - 5x > 8, -5x > -6, 5x < 6, x < 6/5
for 14 - 5x < -8, -5x < -32, 5x > 32, x > 32/5