Transcribed Image Text from this QuestionDetermine whether the relation ~ is an equivalence relation on each of the foll

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Transcribed Image Text From This Questiondetermine Whether The Relation Is An Equivalence Relation On Each Of The Foll 1 (66.29 KiB) Viewed 55 times

Transcribed Image Text from this QuestionDetermine whether the relation ~ is an equivalence relation on each of the following given sets S. Justify your answer. 1). S =R, a~ b is if a - b is rational. 2). S =R, a~ b if and only if a > b. 3). S = C, a~ b if and only if |al = 16). 4). S = the set of straight lines in the plane, a ~ b if and only if a, b are parallel. 5). S = the set of all people, a ~b if and only if they have the same color eyes.