Answer:
(-1,3)
Step-by-step explanation:
we need to replace the values x and y for every point and see if the point satisfies all the inequations.
Point (-2,3):
x - y ≥ -4
-2 - 3 ≥ -4
-5 ≥ -4
Then, -5 is not greater than -4, so that point is not a solution.
Point (-1,3):
x - y ≥ 4 2x - y ≤ 5 2y + x > 1
-1 - 3 ≥ 4 2(-1) - 3 ≤ 5 2(3) + (-1) > 1
-4 ≥ -4 -5 ≤ 5 5 > 1
Then, (-1,3) is a solution
Point (0,0):
x - y ≥ 4 2x - y ≤ 5 2y + x > 1
0 - 0 ≥ 4 2(0) - 0 ≤ 5 2(0) + (0) > 1
0 ≥ -4 0 ≤ 5 0 > 1
Then, 0 is not greater than 1, so that point is not a solution.
Point (2,-2):
x - y ≥ 4 2x - y ≤ 5
2 - (-2) ≥ 4 2(2) - (-2) ≤ 5
4 ≥ -4 6 ≤ 5
Then, 5 is not greater than 6, so that point is not a solution.
