Question

If a and b represent positive real numbers, what is the inequality when solved for V?

Answer 1

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