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Question

Mathematics Question on Relations and functions

The region R on the set A=xZ:0x12A=\\{x \in Z:0\leq x\leq 12\\} , given by R=\\{(a,b):|a-b| is a multiple of 4 \\} is :

A

Reflexive but not Symmetric

B

Reflexive but not Transitive

C

Symmetric but not Transitive

D

Equivalence relation

Answer

Equivalence relation

Explanation

Solution

The correct option is (D): Equivalence relation