Final answer:
The correct answer are option 1,2 and 4. For the inequality y > 4x, the points (12.5, 63), (3, 20), and (1, 5) fulfill the condition, making them part of the solution set. Points must have y values greater than four times their x values to be included.
Step-by-step explanation:
The inequality in question is y > 4x, which compares the number of clients an attorney has while advertising (y) to the number she has while not advertising (x). To determine which points belong to the solution set, each provided point must satisfy the inequality, meaning that for a point (x, y), the y value must be greater than four times the x value.
- (12.5, 63) is in the solution set because 63 > 4(12.5).
- (3, 20) is in the solution set because 20 > 4(3).
- (-2, -1) is not in the solution set because -1 < 4(-2).
- (1, 5) is in the solution set because 5 > 4(1).
- (12, 51) is not in the solution set because 51 <= 4(12).
- (-5, 10) does not satisfy the inequality as negative x values would require negative y values for the condition y > 4x to hold true.
The correct options that are part of the solution set for this situation are: (12.5, 63), (3, 20), and (1, 5).