The system of inequalities representing this situation is: "The solutions for this situation are any whole number values for t and s that are in the shaded regions under either of the segments but not on either of the segments." Hence the correct option is c.
The system of inequalities reflects Amanda's production of T-shirts (t) and sweatshirts (s). The conditions state that the solutions lie in the shaded regions under either of the segments but not on the segments themselves. This implies that the feasible solutions include any whole number values for both the number of T-shirts and sweatshirts, and these solutions can be found below the boundary lines.
The emphasis on whole numbers suggests a practical context, aligning with the discrete nature of counting items, such as T-shirts and sweatshirts, in real-world scenarios. The shaded region represents the viable combinations of T-shirts and sweatshirts that Amanda can produce, meeting the specified conditions for the solution set.