Which of the following points is a possible solution to the inequality 2x - 3y < 6?
Select all that would work
(6,2)
(0,0)
(1,2)
To determine if a point is a solution to the inequality 2x - 3y < 6, we need to substitute the values into the inequality and check if the inequality is true.
Substituting (6,2):
2(6) - 3(2) < 6
12 - 6 < 6
6 < 6
Substituting (0,0):
2(0) - 3(0) < 6
0 - 0 < 6
0 < 6
Substituting (1,2):
2(1) - 3(2) < 6
2 - 6 < 6
-4 < 6
From the above calculations, we can see that (0,0) and (1,2) are both solutions to the inequality 2x - 3y < 6.