1. **State the problem:** Graph the inequality $y > x + 2$. 2. **Understand the boundary line:** The boundary line is given by the equation $y = x + 2$. 3. **Draw the boundary line:** Since the inequality is strict ($>$, not $\geq$), the boundary line should be dashed. 4. **Determine the shading region:** The inequality $y > x + 2$ means we shade the region above the line. 5. **Check a test point:** For example, at $(0,0)$, check if $0 > 0 + 2$ which is $0 > 2$ (false), so the region containing $(0,0)$ is not shaded. 6. **Final graph description:** A dashed line for $y = x + 2$ with shading above the line.