Answer: (2, -1)
Explanation:
To determine if an ordered pair is a solution to an inequality, we substitute the values of x and y into the inequality and see if the resulting expression is true or false.
A. For (7,2), we have:3(7) + 4(2) = 21 + 8 = 29 29 > 5, so (7,2) is not a solution to the inequality.
B. For (2,-1), we have:3(2) + 4(-1) = 6 - 4 = 2 2 ≤ 5, so (2,-1) is a solution to the inequality.
C. For (5,-1), we have:3(5) + 4(-1) = 15 - 4 = 11 11 > 5, so (5,-1) is not a solution to the inequality.
D. For (6,1), we have:3(6) + 4(1) = 18 + 4 = 22 22 > 5, so (6,1) is not a solution to the inequality.
So, the ordered pair that is a solution to the inequality is (2,-1).