Question

Which of the following is not an equivalence relation on I, the set of integers: x, y

Options

• xRy, x + y is an even integer

• xRy, x = y

• xRy, x ≤ y

• xRy, x – y is an even integer

Answer 1

xRy, x ≤ y

Explanation:

`"x" le "y,"` R is reflexive and transitive if R is a relation defined by xRy. It is not, however, symmetric. As a result, R isn't an equivalence relationship.