Question

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

Select all that would work.

(2 points)

Answer 1

To find the possible solutions to the inequality, we can test each option by substituting the values of x and y into the inequality and checking if it is true.

a) (1, 0)
2(1) - 3(0) < 6
2 - 0 < 6
2 < 6
True

b) (4, 5)
2(4) - 3(5) < 6
8 - 15 < 6
-7 < 6
True

c) (-3, -2)
2(-3) - 3(-2) < 6
-6 + 6 < 6
0 < 6
True

d) (0, 0)
2(0) - 3(0) < 6
0 - 0 < 6
0 < 6
True

Therefore, all the given points, (1, 0), (4, 5), (-3, -2), and (0, 0) are possible solutions to the inequality 2x - 3y < 6.