Explain how to solve 5/3v -3/4 < -1/12 +v

Answer 1

We start with the inequality:

(5/3)*v - (3/4) < -(1/12) + v

We would like to get all instances of v on one side of the equation, and a number on the other side, so we'll subtract v from both sides

(5/3)*v - (3/4) < -(1/12) + v

-v - v

Which gives us:

(2/3)v - (3/4) < -(1/12)

Then, we'll add 3/4 to both sides of the equation, after rewriting 3/4 as 9/12

(2/3)v - (3/4) < -(1/12)

+(9/12) +(9/12)

Giving us:

(2/3)v < (8/12)

We then multiply by the reciprocal of the coefficient (2/3) of v which is 3/2 on both sides, giving us:

v<24/24

or

v<1