
4. Define a relation R on the x-y plane as follows: Given two points (xi yı) and (x2 .V2) in the x-y plane, (xi .yi) R (x2 .y2) if and only if the distance between them is a whole number. Is R an equivalence relation? Prove or disprove. 5. Let X be the set of all subsets of Z. Define a relationR on X as follows: Given two subsets
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