For each ordered pair (x, y)determine whether it is a solution to the inequality 5x+7y>-3
(2,3)
(0,2)
(3,-5)
(-9,6)
To determine whether each ordered pair is a solution to the inequality 5x + 7y > -3, we will substitute the values of x and y into the inequality and check if the inequality is true.
For the ordered pair (2, 3):
5(2) + 7(3) > -3
10 + 21 > -3
31 > -3
The inequality is true for (2, 3).
For the ordered pair (0, 2):
5(0) + 7(2) > -3
0 + 14 > -3
14 > -3
The inequality is true for (0, 2).
For the ordered pair (3, -5):
5(3) + 7(-5) > -3
15 - 35 > -3
-20 > -3
The inequality is false for (3, -5).
For the ordered pair (-9, 6):
5(-9) + 7(6) > -3
-45 + 42 > -3
-3 > -3
The inequality is false for (-9, 6).