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1)Let S be the set of all students at a college. Define a relation on the...

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Advance Math

1)Let S be the set of all students at a college. Define arelation on the set S by the rule that two people are related ifthey live less than 2 miles apart. Is this relation an equivalencerelation on S? Justify your answer.

2) Define another relation on the set S from problem 5 bydefining two people as related if they have the same classification(freshman, sophomore, junior, senior or graduate student). Is thisan equivalence relation on S? Justify.

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