Answer:
C. v < (3au - 60)/2b
Step-by-step explanation:
Given
au/2 - bv/3 > 10
Required
Solve for v
We start by rewriting the inequality
au/2 - bv/3 > 10 becomes
½(au) - ⅓(bv) > 10
Multiply both sides by 6
6 * ½(au) - 6 * ⅓(bv) > 6 * 10
3au - 2bv > 60
Make -2bv the subject of formula
-2bv > 60 - 3au
Multiply both sides by -½
[When multiplying or dividing an inequality by a negative number, the sign of the inequality will change]
-½ * -2bv < -½(60 - 3au)
bv < -½(60 - 3au)
bv < ½(3au - 60)
bv < (3au - 60)/2
Divide both sides by b
v < (3au - 60)/2b
Option C is correct
