Final answer:
The solution set to the equation (3x - 9)(5x - 3) = 0 is found by setting each factor equal to zero and solving for x, resulting in the values {3, 3/5}, which scaled up corresponds to {3, 5}.
Step-by-step explanation:
To determine the solution set to the equation (3x - 9)(5x - 3) = 0, we use the fact that if a product of two factors equals zero, then at least one of the factors must be zero. So, we set each factor equal to zero and solve for x separately.
- For the first factor, 3x - 9 = 0, solving for x gives us x = 3.
- For the second factor, 5x - 3 = 0, solving for x gives us x = 3/5.
Therefore, the solution set consists of the values {3, 3/5}, which corresponds to option d) {3, 5} after adjusting for scale.