1. **Stating the problem:** We are given two inequalities: $$y - x < 3$$ and $$y - x \geq 2$$ We want to understand the region defined by these inequalities and the shape formed, which is a triangle. 2. **Rewrite inequalities:** Rewrite each inequality to express $y$ in terms of $x$: $$y < x + 3$$ $$y \geq x + 2$$ 3. **Interpretation:** These inequalities describe the region between two parallel lines: - The line $y = x + 3$ (upper boundary, not included because of $<$) - The line $y = x + 2$ (lower boundary, included because of $\geq$) 4. **Triangle formation:** The triangle is formed by these two lines and a third boundary (not given explicitly). Usually, such a triangle is formed by adding a vertical or horizontal boundary or another linear inequality. 5. **Summary:** The region between the lines $y = x + 2$ and $y = x + 3$ forms a strip. The triangle is the intersection of this strip with another boundary (not specified). Since the problem only gives these two inequalities, the shape is the strip between these two lines. **Final answer:** The region defined by $$x + 2 \leq y < x + 3$$ represents the area between two parallel lines, which can form part of a triangle when combined with another boundary.