Q. Is (3,5) a solution to this system of inequalities?2x+y≤112x+2y>16Choices:(A)yes(B)no
Check Point Satisfaction: Check if the point (3,5) satisfies the inequality 2x+y≤11. Substitute x=3 and y=5 into the inequality 2x+y≤11. 2(3)+5≤116+5≤1111≤11 The point (3,5) satisfies the inequality 2x+y≤11.
Check Inequality 2x+2y: Check if the point (3,5) satisfies the inequality 2x + 2y > 16. Substitute x=3 and y=5 into the inequality 2x + 2y > 16. 2(3) + 2(5) > 16 6 + 10 > 16 16 > 16 The point (3,5) does not satisfy the inequality 2x + 2y > 16 because (3,5)1 is not greater than (3,5)1.
Determine System Solution: Determine if the point (3,5) is a solution to the system of inequalities.Since the point (3,5) satisfies the first inequality but does not satisfy the second inequality, it is not a solution to the system of inequalities.
More problems from Is (x, y) a solution to the system of inequalities?