Final answer:
Yes, both (1,1) and (-1,4) are solutions to the inequality 2x + 5y ≥ 7.
Step-by-step explanation:
To determine whether (1,1) and (-1,4) are solutions to 2x + 5y ≥ 7, we need to substitute the x and y values into the inequality and check if the resulting inequality is true.
For (1,1):
2(1) + 5(1) ≥ 7
2 + 5 ≥ 7
7 ≥ 7
The inequality is true for (1,1).
For (-1,4):
2(-1) + 5(4) ≥ 7
-2 + 20 ≥ 7
18 ≥ 7
The inequality is true for (-1,4).
Therefore, both (1,1) and (-1,4) are solutions to the inequality 2x + 5y ≥ 7.