- Math 215 i Exam2 Name 1:K.LUituJ(C I AttZ;Wcfw_A S ~a = Define a relation Ron Z by aRb if 51 a-b Prove R is an equivalence relation KeJ-l c'f

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Math 215 . i) Exam2 Name ':K.LUituJ AttZ;W{A S -- I 1) Define a relation, Ron Z by aRb if 51 a-b. Prove R is an equivalence relation. KeJ-l c 'f.-\ 1ft.- " 7rnv'R 0.. ,(C, . C:~ -0. .... ~ a 5" I 0 ~' o--Kv. .... I S~{Y\(\~h<'- '. Assu-~ c<--K6 -I-~~Vl SIc- -la, So 'dj e-l s"t. ~j ::. k -\0 . -\ W 1'1 b- 4. == - LeA- - b) -=- ~ L ~J' '). .'. 5\6 -C-\., to K- e.. ·-to (l 5 (tA -b t\. V1 cC \ of <A Y\ '::, " t\ lAR .' A s Sv I"I'\J'. . CA K.- ~ 0'" V\. cL .. t 5'-0-.-6 t~cl ~ l 6 - c.. . l~ (1 Jj \ Ie. .. -'= l 6 . J- Sk ~ \0 - L lAJ.,lU ~ - L- -:. (]A. .. - ~ j- to . . G -:::: S~ +- SIt--- =- ~(j t-IL ') Sl a - 2) What are the equivalence classes generated by the relation in problem # I? C3] L4] 3) Tell whether each of the following is an equivalence relation. If a relation is not an equivalence relation, tell which of the properties (Reflexive, Symmetric, Transitive) fails. a) Define R on the set ofintegers as follows: aRb ifa < b.
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This note was uploaded on 09/13/2009 for the course ME mae 1502 taught by Professor Bills during the Spring '09 term at University of Colorado-Colorado Springs.

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- Math 215 i Exam2 Name 1:K.LUituJ(C I AttZ;Wcfw_A S ~a = Define a relation Ron Z by aRb if 51 a-b Prove R is an equivalence relation KeJ-l c'f

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