Answer:
Given inequality:
[tex]-4x+8>-8[/tex]
Solving for [tex]x[/tex]
Subtracting by 8 both sides.
[tex]-4x+8-8>-8-8[/tex]
[tex]-4x>-16[/tex]
Dividing by -4 both sides.
[tex]\frac{-4x}{-4}<\frac{-16}{-4}[/tex] [On multiplying and dividing by a negative number both sides the sign of the inequality is reversed]
[tex]x<4[/tex]
This can be represented in a number line as shown below.
It stats from 4(not included) and goes up to negative infinity.
