In order to check which ordered pair is a solution to the system of inequalities, we need to substitute each pair of values into the system and check if they satisfy both inequalities.
A) (0, 3):
y - x = 3 - 0 = 3, which is greater than 2, so this does not satisfy the first inequality.
y = 3, which is greater than 1, so this satisfies the second inequality.
B) (-2, 0):
y - x = 0 - (-2) = 2, which is less than or equal to 2, so this satisfies the first inequality.
y = 0, which is not greater than or equal to 1, so this does not satisfy the second inequality.
C) (1, -1):
y - x = -1 - 1 = -2, which is not less than or equal to 2, so this does not satisfy the first inequality.
y = -1, which is not greater than or equal to 1, so this does not satisfy the second inequality.
D) (3, 2):
y - x = 2 - 3 = -1, which is less than or equal to 2, so this satisfies the first inequality.
y = 2, which is greater than or equal to 1, so this satisfies the second inequality.
Therefore, the ordered pair that is a solution to the system of inequalities is D) (3, 2).