Determine whether each ordered pair is a solution to the inequality 6x+5y<7.

Question

seeing if any of these pairs is a solution

(2,-2)

(3,-4)

(-6,-7)

(1,-9)

(10,-6)

Answer 1

A quick way to solve this problem is to plug your points into the expression 6x+5y to see if it is < 7.

[ < means less than]

(x,y)

(2,-2): 6(2)+5(-2) = 12 + (-10) = 12 - 10 = 2 --> 2<7, TRUE, (2,-2) is a solution

(3,-4): 6(3)+5(-4) = 18 + (-20) = 18 - 20 = -2 --> -2<7, TRUE, (3,-4) is a solution

(-6,-7): 6(-6)+5(-7) = -36 + (-35) = -36 - 35 = -71 --> -71<7, TRUE, (-6,-7) is a solution

(1,-9): 6(1)+5(-9) = 6 + (-45) = 6 - 45 = -39 --> -39<7, TRUE, (1,-9) is a solution

(10,-6): 6(10)+5(-6): 60 + (-30) = 60 - 30 = 30 --> 30<7, FALSE, (10,-6) is not a solution.

Answer 2