Which of the following points is a possible solution to the inequality 2x−3y<6

Question

?

Select all that would work.

(2 points)
Responses

(0,0)
open paren 0 comma 0 close paren

(1,2)
open paren 1 comma 2 close paren

(6,2)

Answer 1

To determine which points are possible solutions to the inequality 2x - 3y < 6, we can substitute the x and y values of each point into the inequality and check if it holds true.

For the point (0,0):
2(0) - 3(0) < 6?
0 - 0 < 6?
0 < 6
This inequality holds true, so (0,0) is a possible solution.

For the point (1,2):
2(1) - 3(2) < 6?
2 - 6 < 6?
-4 < 6
This inequality holds true as well, so (1,2) is a possible solution.

For the point (6,2):
2(6) - 3(2) < 6?
12 - 6 < 6?
6 < 6
This inequality does not hold true, so (6,2) is not a possible solution.

Therefore, the possible solutions to the inequality 2x - 3y < 6 are (0,0) and (1,2).