How do you solve #3abs(2x-7)< 15#?
1 Answer
The solution is
Explanation:
To solve this inequality, we have to consider the expression inside the absolute value sign twice. Once treating it as positive and next treating it as negative.
- Case 1
#3(2x-7) < 15#
#6x-21 < 15#
#6x < 36 implies x < 6#
- Case 2
#3(-2x+7) < 15#
#-6x+21 < 15#
#6x-21 > -15#
#6x>6 implies x >1#
The solution is thus
