Is (4, 1) a solution to this system of inequalities? x + 5y ≥ 12 2x + 11y > 19
To check if (4, 1) is a solution to the system of inequalities, we substitute x = 4 and y = 1 into each inequality and check if the resulting equations are true.
For x + 5y ≥ 12:
4 + 5(1) ≥ 12
4 + 5 ≥ 12
9 ≥ 12
The inequality is not satisfied, so (4, 1) is not a solution to x + 5y ≥ 12.
For 2x + 11y > 19:
2(4) + 11(1) > 19
8 + 11 > 19
19 > 19
The inequality is not satisfied, so (4, 1) is not a solution to 2x + 11y > 19.
Therefore, (4, 1) is not a solution to the system of inequalities.