Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine which points belongs to the solution of y < 3x - 5, we can substitute the values of each point into the inequality and see if it is true or false.

For point (2,3):
3 < 3(2) - 5
3 < 6 - 5
3 < 1
This is false, so (2,3) does not belong to the solution.

For point (4,5):
5 < 3(4) - 5
5 < 12 - 5
5 < 7
This is true, so (4,5) belongs to the solution.

For point (-2,-5):
-5 < 3(-2) - 5
-5 < -6 - 5
-5 < -11
This is false, so (-2,-5) does not belong to the solution.

For point (0,2):
2 < 3(0) - 5
2 < -5
This is false, so (0,2) does not belong to the solution.

Therefore, the only point that belongs to the solution of y < 3x - 5 is (4,5).