Answer:
x = -1, y = -5
x = 0, y = -3
x = 1, y = -1
x = 2, y = 1
x = 3, y = 5
x = 4, y = 7
These are six sets of integer values that satisfy the inequality |x-y|>2. In each case, the absolute value of the difference between x and y is greater than 2, which satisfies the inequality. For example, in the first set, x = -1 and y = -5, so the absolute value of the difference is |-1 - (-5)| = |-1 + 5| = 6, which is greater than 2. In the second set, x = 0 and y = -3, so the absolute value of the difference is |0 - (-3)| = |0 + 3| = 3, which is greater than 2. Similarly, the other sets of values also satisfy the inequality.