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Question
Statement 1: The intersection of two equivalence relations is always an equivalence relation.
Statement 2: The Union of two equivalence relations is always an equivalence relation.
Which one of the following is correct?
Options
Statement 1 implies Statement 2.
Statement 2 implies Statement 1.
Statement 1 is true only if Statement 2 is true.
Statement 1 and 2 are independent of each other.
Solution
Statement 1 is true only if Statement 2 is true.
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