1. **State the problem:** Write the system of inequalities that corresponds to the shaded region above the line $y = x$ and below the line $y = 2x - 2$. 2. **Identify the boundary lines:** The two lines given are: - $y = x$ - $y = 2x - 2$ 3. **Determine the inequalities:** - Since the shaded region is above $y = x$, the inequality is $y > x$. - Since the shaded region is below $y = 2x - 2$, the inequality is $y < 2x - 2$. 4. **Write the system of inequalities:** $$\begin{cases} y > x \\ y < 2x - 2 \end{cases}$$ 5. **Explanation:** - The inequality $y > x$ means all points above the line $y = x$. - The inequality $y < 2x - 2$ means all points below the line $y = 2x - 2$. - The solution to the system is the intersection of these two regions, which matches the shaded area described. **Final answer:** $$\boxed{\begin{cases} y > x \\ y < 2x - 2 \end{cases}}$$