How do you solve the inequality -6v-3> -33?

1 Answer
Jun 2, 2016

v<5

Explanation:

Given,

-6v-3> -33

Add 3 to both sides.

-6v-3color(white)(i)color(red)(+3)> -33color(white)(i)color(red)(+3)

-6v> -30

Divide both sides by -6.

color(red)((color(black)(-6v))/(-6))> color(red)((color(black)(-30))/(-6))

v>5

Since you divided the inequality by a negative number, you must flip the sign.

color(green)(|bar(ul(color(white)(a/a)color(black)(v<5)color(white)(a/a)|)))