Final answer:
To check if the given ordered pair (-2,34) satisfies the system of inequalities, we substitute the values of x and y into each inequality and check if the inequality holds true. Since one inequality is true and the other is false, the given ordered pair (-2,34) is not a solution of the system of inequalities. Therefore, the answer is No.
Step-by-step explanation:
To check if the given ordered pair (-2,34) satisfies the system of inequalities, we substitute the values of x and y into each inequality and check if the inequality holds true.
For the first inequality y > -11x + 10:
Substituting x = -2 and y = 34, we get 34 > -11(-2) + 10 which simplifies to 34 > 12. Since 34 is greater than 12, the first inequality is true.
For the second inequality y < -7x + 12:
Substituting x = -2 and y = 34, we get 34 < -7(-2) + 12 which simplifies to 34 < 26. Since 34 is not less than 26, the second inequality is false.
Since one inequality is true and the other is false, the given ordered pair (-2,34) is not a solution of the system of inequalities. Therefore, the answer is b) No.