Question
Let be a fixed positive integer. Define a relation in the set of integers by if and only if . The relation is
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Text solutionVerified
Given such that
and does not belongs to
So not a reflexive relation and hence (A) and (D) options are ruled out.
we need to check whether or not.
Now,
As is integer so negative of it also integer
Hence relation is Symmetric.
Now and but we can't say anything about Hence not a transitive relation.
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Question Text | Let be a fixed positive integer. Define a relation in the set of integers by if and only if . The relation is |
Answer Type | Text solution:1 |
Upvotes | 150 |