1. The problem is to understand the inequality $a - b > 0$. 2. Start by isolating $a$ on one side by adding $b$ to both sides: $$a - b + b > 0 + b$$ which simplifies to $$a > b$$ 3. This means the value $a$ is greater than the value $b$, which geometrically corresponds to all points to the right of the line where $a = b$ on a number line or coordinate plane. 4. The graph described shows a rightward-pointing arrow starting from the origin indicating the region where $a - b > 0$. 5. To summarize, the inequality holds true for all points where $a$ is strictly larger than $b$. Final answer: $$a > b$$