First slide

Relations XII

Question

Let $R$ be a relation on a set $A$ such that $R = R^{- 1}$ then $R$ is

Moderate

A

reflexive
B

symmetric
C

transitive
D

an equivalence relation

Solution

If $(a, b) \in R$ then $(b, a) \in R^{- 1} = R$ so $R$ is symmetric. The relation R satisfying $R = R^{- 1}$
is neither reflexive nor transitive.

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