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Let be a relation on the set . The relation is
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Let be a relation on the set , then
(a) Since and , so is not a function.
(b) Since and but , so is not transitive:
(c) Since but , so is not symmetric.
(d) Since , so is not reflexive.
Hence, option C is correct.
(a) Since and , so is not a function.
(b) Since and but , so is not transitive:
(c) Since but , so is not symmetric.
(d) Since , so is not reflexive.
Hence, option C is correct.
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Let be the relation defined on the set by . Show that is an equivalence relation. Further, show that all the elements of the subset are related to each other similarly all the elements of the subset too.Stuck on the question or explanation?
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Question Text | Let be a relation on the set . The relation is |
Answer Type | Text solution:1 |
Upvotes | 150 |