Question

which number line shows the solutions to $\frac{1}{2}x - 2>0$?

Explanation:

Step1: Solve the inequality

$\frac{1}{2}x−2>0$
Add 2 to both sides: $\frac{1}{2}x>2$.

Step2: Isolate x

Multiply both sides by 2: $x > 4$.
On a number - line, the solution of $x>4$ is represented by an open - circle at 4 (because 4 is not included in the solution set) and the line shaded to the right of 4.

Answer:

The number line with an open - circle at 4 and the line shaded to the right of 4.