Which of the following points is a possible solution to the inequality 2x−3y<6
?
Select all that would work.
(2 points)
Responses
(1,2)
open paren 1 comma 2 close paren
(6,2)
open paren 6 comma 2 close paren
(4,5)
open paren 4 comma 5 close paren
(0,0)
To determine which points are possible solutions to the inequality 2x - 3y < 6, plug each set of coordinates into the inequality and see if the inequality holds true.
For point (1, 2):
2(1) - 3(2) < 6
2 - 6 < 6
-4 < 6
The inequality holds true for this point.
For point (6, 2):
2(6) - 3(2) < 6
12 - 6 < 6
6 < 6
The inequality does not hold true for this point.
For point (4, 5):
2(4) - 3(5) < 6
8 - 15 < 6
-7 < 6
The inequality holds true for this point.
For point (0, 0):
2(0) - 3(0) < 6
0 - 0 < 6
0 < 6
The inequality holds true for this point.
Therefore, the possible solutions to the inequality are:
(1, 2)
(4, 5)
(0, 0)