Question

How do you solve `-6v+8> -14v-28` and graph the solution on a number line?

Answer 1

`" "v > -4.5`

Explanation:

Solve the inequality in the same way as an equation, unless you multiply or divide by a negative value, in which case the inequality sign changes around.

`-6v+8 > -14v -28`

`-6v+14v > -28 -8`

`" "8v > -36`
`color(white)(.......................................)(-36)/8 = (-18)/4 = -4 1/2`
`" "v > -4.5`

On a number line graph we would have an open circle on `-4.5` to indicate that it is not included in the solution, and draw and arrow to the right to show the possible solutions.