Q. Is (3,3) a solution to this system of inequalities?x+2y≥92x+2y≤12Choices:(A)yes(B)no
Check First Inequality: Check if (3,3) satisfies the first inequality x+2y≥9. Substitute x=3 and y=3 into the inequality. 3+2(3)≥93+6≥99≥9 The point (3,3) satisfies the first inequality.
Check Second Inequality: Check if (3,3) satisfies the second inequality 2x+2y≤12. Substitute x=3 and y=3 into the inequality. 2(3)+2(3)≤126+6≤1212≤12 The point (3,3) satisfies the second inequality.
Solution Verification: Since (3,3) satisfies both inequalities, it is a solution to the system.
More problems from Is (x, y) a solution to the system of inequalities?