Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Which of the following is not an equivalence relation on Z ?

Options:

a R b ⇔ a + b is an even integer

a R b ⇔ a – b is an even integer

a R b ⇔ a ≤ b

a R b ⇔ a = b

Correct Answer:

a R b ⇔ a ≤ b

Explanation:

Option C

a R b ⇔ a ≤ b

for a, a   (a < a)  →  false relation is not reflexive

⇒  it is not equivalence relation