Determine whether the given relations over the set of all people are equivalence relations. 1. xRy...

 

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Determine whether the given relations over the set of all people are equivalence relations. 1. xRy if x and yare the same weight. 2. xRy if x and y lived in the same house at some point. 3. xRy if x and y have the same middle name 4. xRy if x is wider than y. 5. xRy if x and y have at least one parent that is different. 6. xRy if x and y have the same color of eyes. Determine whether the given relations over the set of all people are equivalence relations. 1. xRy if x and yare the same weight. 2. xRy if x and y lived in the same house at some point. 3. xRy if x and y have the same middle name 4. xRy if x is wider than y. 5. xRy if x and y have at least one parent that is different. 6. xRy if x and y have the same color of eyes.