Question 146055
whenever you see absolute signs you must consider the negative, that is:
consider |x| 
if x is positive
|x| = x
if x is negative
|-x| = x
.
first case:
8x-17 <= 24
8x <= 41
x <= 41/8
.
second case:
-(8x-17) <= 24
17 - 8x <= 24
-8x <= 7
x >= 7/8
.
therefore
7/8 <= x <= 41/8