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:

`-(bv)/(3)>10-(au)/(2)`

Multiplying both sides by -1 and reversing:

`(bv)/(3)<-10+(au)/(2)`

Multiplying both sides by 3:

`bv<-30+(3au)/(2)`

Taking 2 as a common factor:

`bv<(-60+3au)/(2)`

Dividing both sides by b:

`v<(-60+3au)/(2b)`

Rearranging terms:

`v<(3au-60)/(2b)`

The appropiate inequality is the first option.