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.
