Answer:
-8 < x < 13
Explanation:
|2x-5|<21
The absolute value has 2 solutions, one positive and one negative. When we take the negative solution, we have to flip the inequality.
2x-5 < 21 and 2x-5 > -21
Add 5 to each side
2x-5+5 < 21 +5 2x-5 +5 > -21+5
2x < 26 2x > -16
Divide by 2
2x/2 <26/2 2x>-16/2
x <13 and x>-8
-8 < x < 13