Final answer:
After substituting the values from each pair into the inequality y - 3x < -8, only (5, 4) and (0, -9) satisfy it. Therefore, these are the solutions to the given inequality.
Step-by-step explanation:
The student has asked to determine which ordered pairs are solutions to the inequality y - 3x < -8. To verify if an ordered pair is a solution, we can substitute the values of x and y into the inequality and see if it holds true.
- For (5, 4), we substitute x=5 and y=4: 4 - 3(5) = 4 - 15 = -11, which is less than -8. So, this ordered pair is a solution.
- For (0, -9), we substitute x=0 and y=-9: -9 - 3(0) = -9, which is also less than -8. This ordered pair is also a solution.
- For (-3, -2), we substitute x=-3 and y=-2: -2 - 3(-3) = -2 + 9 = 7, which is not less than -8. Thus, this is not a solution.
- For (1, -5), we substitute x=1 and y=-5: -5 - 3(1) = -5 - 3 = -8, which is not less than -8. Therefore, this ordered pair is not a solution.
After analyzing each ordered pair, Options 1: (5, 4) and Option 2: (0, -9) are the solutions to the inequality y - 3x < -8.