Question

which graph shows the inequality x > 0?

Explanation:

Step1: Recall inequality graph rules

For $x > 0$, the solution set does not include $x = 0$. So, there should be an open - circle at $x = 0$. Also, since $x$ is greater than $0$, the graph should extend to the right of $x = 0$.

Step2: Analyze the graphs

In a number - line graph of an inequality, an open - circle is used for $>$ or $<$ and a closed - circle is used for $\geq$ or $\leq$. The graph of $x>0$ will have an open - circle at $0$ and an arrow pointing to the right.

Answer:

The graph with an open - circle at $0$ and an arrow pointing to the right.