Question

If a and b represent positive real numbers, what is the inequality when solved for v? au/2 - bv/3 > 10

Answer 1

EXPLANATION

Subtracting au/2 to both sides:

$-\frac{bv}{3}>10-\frac{au}{2}$

Multiplying both sides by -1 and reversing:

$\frac{bv}{3}<-10+\frac{au}{2}$

Multiplying both sides by 3:

$bv<-30+\frac{3au}{2}$

Taking 2 as a common factor:

$bv<\frac{-60+3au}{2}$

Dividing both sides by b:

$v<\frac{-60+3au}{2b}$

Rearranging terms:

$v<\frac{3au-60}{2b}$

The appropiate inequality is the first option.