Answer:
(2,0)
Step-by-step explanation:
we know that
If a ordered pair is a solution of the inequality, then the ordered pair must satisfy the inequality
we have
![y > -3x+2](https://tex.z-dn.net/?f=y%20%3E%20-3x%2B2)
Substitute the value of x and the value of y of each point in the inequality and then compare the results
case a) (0, 2)
![2 > -3(0)+2](https://tex.z-dn.net/?f=2%20%3E%20-3%280%29%2B2)
----> is not true
so
the point not satisfy the inequality
therefore
The point is not a solution of the inequality
case b) (2,0)
![0 > -3(2)+2](https://tex.z-dn.net/?f=0%20%3E%20-3%282%29%2B2)
----> is true
so
the point satisfy the inequality
therefore
The point is a solution of the inequality
case c) (1, -2)
![-2 > -3(1)+2](https://tex.z-dn.net/?f=-2%20%3E%20-3%281%29%2B2)
----> is not true
so
the point not satisfy the inequality
therefore
The point is not a solution of the inequality
case d) (-2, 1)
![1 > -3(-2)+2](https://tex.z-dn.net/?f=1%20%3E%20-3%28-2%29%2B2)
----> is not true
so
the point not satisfy the inequality
therefore
The point is not a solution of the inequality
see the attached figure to better understand the problem