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210hw5 - Math 210 Homework 5 Due Monday March 14th 1 Let R...

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Math 210 Homework 5 Due Monday March 14th 1. Let R be the relation on Z defined by ( x, y ) R if and only if y - x 10 . (i) Is R reflexive? (ii) Is R symmetric? (iii) Is R transitive? (iv) Is R an equivalence relation? (v) Is R a partial order? 2. Find q and r as defined in the Division Algorithm in each of these cases. (i) a = 163, b = 7 (ii) a = 163,
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