For each ordered pair (x, y)determine whether it is a solution to the inequality 6x-3y>=-9
(0,-9)
(3,-4)
(2,7)
(-7,-8)
To determine if each ordered pair is a solution to the inequality 6x - 3y >= -9, we substitute the values of x and y into the inequality and check if the equation holds true.
For (0, -9):
6(0) - 3(-9) >= -9
0 + 27 >= -9
27 >= -9
This is true, so (0, -9) is a solution to the inequality.
For (3, -4):
6(3) - 3(-4) >= -9
18 + 12 >= -9
30 >= -9
This is true, so (3, -4) is a solution to the inequality.
For (2, 7):
6(2) - 3(7) >= -9
12 - 21 >= -9
-9 >= -9
This is true, so (2, 7) is a solution to the inequality.
For (-7, -8):
6(-7) - 3(-8) >= -9
-42 + 24 >= -9
-18 >= -9
This is not true, so (-7, -8) is not a solution to the inequality.