Which of these points, (2,3), (4,5), (-2,-5), and (0,2), belongs to the solution of y<3x-5?

Answer 1

To determine which points belong to the solution of y<3x-5, we need to substitute the x and y coordinates of each point into the inequality and see if it is true for each point.

For the point (2,3):
3 < 3(2) - 5
3 < 6 - 5
3 < 1
This inequality is not true for the point (2,3).

For the point (4,5):
5 < 3(4) - 5
5 < 12 - 5
5 < 7
This inequality is true for the point (4,5).

For the point (-2,-5):
-5 < 3(-2) - 5
-5 < -6 - 5
-5 < -11
This inequality is true for the point (-2,-5).

For the point (0,2):
2 < 3(0) - 5
2 < -5
This inequality is not true for the point (0,2).

Therefore, the points that belong to the solution of y<3x-5 are (4,5) and (-2,-5).