Answer:
Step-by-step explanation:
Given that,
a and b are positive real numbers
Then,
au /2 — bv / 3 > 10
We want to make v subjects of the formula
Multiply through by 6 to remove the fractions
6 ( au /2 — bv / 3) > 6 × 10
3au— 2bv > 60
Subtract 3au from both sides
-2bv > 60 - 3au
Now since b is positive, then dividing both sides by "b" won't change the sign of the inequalities.
So,
-2v > (60 - 3au) / b
Now, dividing both sides by -2 will change the sign of the inequalities
then, we have
v < - (60 - 3au) / 2b
Rearranging
v < (3au - 60) / 2b
The third option is correct.
