Answer:
[tex]x>2[/tex]
Step-by-step explanation:
We have been given an inequality [tex]-2<2x-6[/tex]. We are asked to graph the given inequality.
Let us solve for x.
Add 6 on both sides:
[tex]-2+6<2x-6+6[/tex]
[tex]4<2x[/tex]
Divide both sides by 2:
[tex]\frac{4}{2}<\frac{2x}{2}[/tex]
[tex]2<x[/tex]
[tex]x>2[/tex]
Therefore, the solution for our given inequality is all values of x greater than 2.
We will have an open dot at [tex]x=2[/tex] and the arrow will on number line will point towards positive side.
