1. Let M denote set of m&ms in a bag. This consist of red, yellow, green,...

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1. Let M denote set of m&ms in a bag. This consist of red,yellow, green, blue and brown candies.

a. Device on equivalence relation on M.

b. Define relation R on M by: aRb if and only if either: a isgreen or b is blue, or, a is yellow abd b is not yellow. Is Rsymmetric, reflexive, transitive or anti-symmetric? Explain.

2. On set Zx(Z not including {0}) define relation R (a,b) a,b eZ, b#0 as follows:(a,b) R (c,d) if and only if ad=bc. Prove that Ris an equivalence relation.

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