If A = 1, 2, 3, 4 define relations on A which have properties of … - Vidyadip

Question

If A = {1, 2, 3, 4} define relations on A which have properties of being:
Reflexive, transitive but not symmetric.

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Answer

The relation on A having properties of being reflexive, transitive, but not symmetric is, R = {(1, 1), (2, 2), (3, 3), (4, 4), (2, 1)} Relation R satisfies reflexivity and transitivity. $ \Rightarrow(1, 1), (2, 2), (3, 3) \in\text{R}$$$and $(1, 1), (2, 1) \in \text{R}\Rightarrow(1, 1)\in \text{R}$
However, $(2,1)\in\text{R},$ but $(1,2)\notin\text{R}$

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