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The union of two equivalence relations is:
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The union of two equivalence relation is not necessarily an equivalence relation.
Union of reflexive relation is reflexive,
Also, the union of symmetric relation is symmetric.
But the union of a transitive relation is not necessarily transitive.
Hence, the union of two equivalence relation is not equivalence.
Union of reflexive relation is reflexive,
Also, the union of symmetric relation is symmetric.
But the union of a transitive relation is not necessarily transitive.
Hence, the union of two equivalence relation is not equivalence.
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Question Text | The union of two equivalence relations is: |
Answer Type | Text solution:1 |
Upvotes | 150 |