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

Answer 1

We can substitute each point into the inequality to see if it holds true.

1. For the point (2,3):
3 < 3(2) - 5
3 < 6 - 5
3 < 1 (false)

2. For the point (4,5):
5 < 3(4) - 5
5 < 12 - 5
5 < 7 (false)

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

4. For the point (0,2):
2 < 3(0) - 5
2 < 0 - 5
2 < -5 (false)

Therefore, the point (-2, -5) is the only point that belongs to the solution of y < 3x - 5.