For (-3, 2):
y <5x + 2
2 <5 (-3) + 2
2 <-15 + 2
2 <-13
It does not satisfy inequality.
For (-1, 3):
y <5x + 2
3 <5 (-1) + 2
3 <-5 + 2
3 <-3
It does not satisfy inequality.
For (0, 2):
y <5x + 2
2 <5 (0) + 2
2 <0 + 2
2 <2
It does not satisfy inequality.
For (1, 2):
y <5x + 2
2 <5 (1) + 2
2 <5 + 2
2 <7
Yes, it satisfies the inequality
y> x + 1
2> 1 + 1
2> 2
It does not satisfy inequality.
For (2, -1):
y <5x + 2
-1 <5 (2) + 2
-1 <10 + 2
-1 <12
Yes, it satisfies the inequality
y> x + 1
-1> 2 + 1
-1> 3
It does not satisfy inequality.
For (2, 2):
y <5x + 2
2 <5 (2) + 2
2 <10 + 2
2 <12
Yes, it satisfies the inequality
y> x + 1
2> 2 + 1
2> 3
It does not satisfy inequality.
Answer:
No point satisfies both inequalities simultaneously
