#A class-room teacher is keen to assess the learning of her students the concept of "relations" taught to them. She writes the following five relations each defined on the set A={1,2,3} :
R1={(2,3),(3,2)}
R2={(1,2),(1,3),(3,2)}
R3={(1,2),(2,1),(1,1)}
R4={(1,1),(1,2),(3,3),(2,2)}×
R5={(1,1),(1,2),(3,3),(2,2),(2,1),(2,3),(3,2)}
The students are asked to answer the following questions about the above relations: (i) Identify the relation which is reflexive, transitive but not symmetric. 3 (ii) Identify the relation which is reflexive and symmetric but not transitive. (iii) (a) Identify the relations which are symmetric but neither reflexive nor transitive.
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