1. **State the problem:** We have two variables: $x$ = number of recent graduates hired, and $y$ = number of experienced workers hired. We need to: a. Write inequalities representing the constraints. b. Interpret the meaning of point A $(8, 2)$. c. Give a solution to the system and explain how it meets the constraints. 2. **Write the inequalities:** Since the graph shows a feasible region where both inequalities overlap, typical constraints might be: - $x \geq 0$ (cannot hire negative graduates) - $y \geq 0$ (cannot hire negative experienced workers) - A linear inequality representing a hiring limit, for example, $x + 2y \leq 12$ (total hiring capacity or budget constraint) 3. **Interpret point A $(8, 2)$:** Point A means hiring 8 recent graduates and 2 experienced workers. Since it lies in the overlapping shaded region, it satisfies all constraints. 4. **Check if point A satisfies the inequalities:** - $x = 8 \geq 0$ (true) - $y = 2 \geq 0$ (true) - Check $x + 2y \leq 12$: $$8 + 2 \times 2 = 8 + 4 = 12 \leq 12$$ This is true. 5. **Solution explanation:** Hiring 8 recent graduates and 2 experienced workers meets all constraints because it respects the non-negativity and the total hiring limit. Hence, the system of inequalities can be: $$\begin{cases} x \geq 0 \\ y \geq 0 \\ x + 2y \leq 12 \end{cases}$$ The point A $(8, 2)$ is a valid solution within this system.