Question

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

Explanation:

Step1: Solve the inequality

Add 2 to both sides of $\frac{1}{2}x - 2>0$, we get $\frac{1}{2}x>2$.

Step2: Isolate x

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

Answer:

The number - line with an open circle at 4 and an arrow pointing to the right. (The first number - line shown in the image where the open circle is at 4 and the red arrow goes to the right)