Question

How do you solve `-6v> -72`?

Answer 1

`v < 12`

Explanation:

To solve this we must divide each side of the inequality by `color(blue)(-6)` to isolate the `v` term while keeping the inequality balance. However, we multiplying or dividing an inequality by a negative term we must reverse the inequality:

`(-6v)/color(blue)(-6) color(red)(<) (-72)/color(blue)(-6)`

`(cancel(-6)v)/cancel(color(blue)(-6)) color(red)(<) 12`

`v color(red)(<) 12`