Is (2, 8) a solution to this system of inequalities?
y =>7х + 2
y =>x+ 6
To determine if (2, 8) is a solution, we need to substitute the values of x and y into each inequality and check if the inequalities hold true.
For the first inequality:
8 >= 7(2) + 2
8 >= 14 + 2
8 >= 16
This inequality is not true since 8 is not greater than or equal to 16. Therefore, (2, 8) is not a solution for the first inequality.
For the second inequality:
8 >= 2 + 6
8 >= 8
This inequality is true since 8 is equal to 8. Therefore, (2, 8) is a solution for the second inequality.
Since (2, 8) only satisfies the second inequality and not the first, it is not a solution to the system of inequalities.