1. **State the problem:** We need to understand and graph the inequality $x - y < -5$. 2. **Rewrite the inequality:** To analyze it better, isolate $y$: $$x - y < -5$$ Subtract $x$ from both sides: $$-y < -5 - x$$ Multiply both sides by $-1$ (remember to reverse the inequality sign when multiplying by a negative): $$\cancel{-}y \times \cancel{-1} > \cancel{-}( -5 - x) \times \cancel{-1}$$ $$y > 5 + x$$ 3. **Interpretation:** The inequality $y > 5 + x$ means the solution region is all points above the line $y = x + 5$. 4. **Graphing:** The boundary line is $y = x + 5$. Since the inequality is strict ($>$), the line is dashed. 5. **Summary:** The solution to $x - y < -5$ is the region above the line $y = x + 5$ on the Cartesian plane. This matches the description that the region is below the line $x - y = -5$ because rewriting shows it is above $y = x + 5$ (equivalent forms).