Final answer:
The solution set representing the dollar amount of sales Thomas must generate for the commission to be better than a fixed salary cannot be determined without specific details about his compensation plans. We need to compare the commission against the fixed salary using an inequality to find the correct solution set.
Step-by-step explanation:
To determine which solution set represents the dollar amount of sales that Thomas must generate each week for the option with commission to be the better choice, we would need to have more details about Thomas's compensation plans to compare the fixed salary option against the commission-based option. This typically involves setting up an inequality where one side represents the earnings from the commission and the other side represents the fixed salary. Without the exact details, we cannot accurately specify whether the solution set is S > $200, S > $400, S > $850, or S > $1,000.
We would need information like the percentage of sales that Thomas earns as commission and the fixed salary amount to solve this problem. Once we have these details, we can set up an equation or inequality where the total earnings from the commission are greater than the fixed salary, thus finding the minimum amount of sales needed for the commission option to be more profitable.