Answer:
Option c
. (2, 5)
Step-by-step explanation:
we know that
If a ordered pair lie in the solution set of a system of inequalities, then the ordered pair must satisfy both inequalities of the system
we have
----> inequality A
----> inequality B
<u><em>Verify each ordered pair</em></u>
case a) (2,-5)
<em>Verify inequality A</em>
![y > -3x+3](https://tex.z-dn.net/?f=y%20%3E%20-3x%2B3)
![-5 > -3(2)+3](https://tex.z-dn.net/?f=-5%20%3E%20-3%282%29%2B3)
----> is not true
so
The point not satisfy inequality A
therefore
The point not lie in the solution set
case b) (-2,5)
<em>Verify inequality A</em>
![y > -3x+3](https://tex.z-dn.net/?f=y%20%3E%20-3x%2B3)
![5 > -3(-2)+3](https://tex.z-dn.net/?f=5%20%3E%20-3%28-2%29%2B3)
----> is not true
so
The point not satisfy inequality A
therefore
The point not lie in the solution set
case c) (2,5)
<em>Verify inequality A</em>
![y > -3x+3](https://tex.z-dn.net/?f=y%20%3E%20-3x%2B3)
![5 > -3(2)+3](https://tex.z-dn.net/?f=5%20%3E%20-3%282%29%2B3)
----> is true
so
The point satisfy inequality A
<em>Verify inequality B</em>
![y >x+2](https://tex.z-dn.net/?f=y%20%3Ex%2B2)
![5 >2+2](https://tex.z-dn.net/?f=5%20%3E2%2B2)
---> is true
so
The point satisfy inequality B
therefore
The point lie in the solution set
case d) (-2,-5)
<em>Verify inequality A</em>
![y > -3x+3](https://tex.z-dn.net/?f=y%20%3E%20-3x%2B3)
![-5 > -3(-2)+3](https://tex.z-dn.net/?f=-5%20%3E%20-3%28-2%29%2B3)
----> is not true
so
The point not satisfy inequality A
therefore
The point not lie in the solution set