Question

This statement is false. Give an example of a values of x and y that may potentially disprove the statement. If x and y are integers then x - y = y - x

Answer 1

This statement is false:

x - y = y - x

This is equivalent to write

This statement is true:

x - y ≠ y - x

Rearranging:

x + x ≠ y + y

Simplifying:

2x ≠ 2y

Dividing by 2:

x ≠ y

Every pair of different values x, y make the statement above true. So any pair of values of type x,x, or y,y is a good counterexample

x = 2, y=2

x = -1 y = -1