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