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प्रश्न
Let Z be the set of integers and R be the relation defined in Z such that aRb if a – b is divisible by 3. Then R partitions the set Z into ______ pairwise disjoint subsets
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उत्तर
Let Z be the set of integers and R be the relation defined in Z such that aRb if a – b is divisible by 3. Then R partitions the set Z into three pairwise disjoint subsets
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संबंधित प्रश्न
Show that the relation R in the set R of real numbers, defined as R = {(a, b) : a ≤ b2} is neither reflexive nor symmetric nor transitive.
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a mapping from A to B which is not injective
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Answer the following using the above information.
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What characterizes an Identity Relation?
What should be checked to determine whether a relation is symmetric?
Which combination of properties is required for an equivalence relation?
