Question

What is -4x+8 > -8 on the number line

Answer 1

Given inequality:

`-4x+8>-8`

Solving for
`x`

Subtracting by 8 both sides.

`-4x+8-8>-8-8`

`-4x>-16`

Dividing by -4 both sides.

`(-4x)/(-4)<(-16)/(-4)` [On multiplying and dividing by a negative number both sides the sign of the inequality is reversed]

`x<4`

This can be represented in a number line as shown below.

It stats from 4(not included) and goes up to negative infinity.