Answer:
(2,2)
Explanation:
input all coordinates, one at a time, into the inequalities. then see which one fits.
for (-1, -2):
y < x + 1. 
-2 < -1 + 1.
 -2 < 0. that is true
y > x - 1.
 -2 > -1 - 1. 
-2 > -2. that is not true. so (-1, -2) is not the answer.
for (1, 0):
y < x + 1
0 < 1 + 1. that is true.
y > x - 1.
0 > 1 - 1. that is not true. so (1, 0) is not the answer.
for (2, 2):
y < x + 1
2 < 2 + 1. that is true.
y > x - 1
2 > 2 -1. that is also true.
since both for (2, 2) are true, this is the answer.
so our answer is (2, 2).