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Show that the relation R in the set {1, ...

Show that the relation R in the set {1, 2, 3} defined as:
(a) `R={(1,2),(2,1)}`
is symmetric, but neither reflexive nor transitive
(b) `R={(1,1),(2,2),(3,3),(1,2),(2,3)}`
is reflexive, but neither symmetric nor transitive
(c ) `R={(1,3),(3,2),(1,2)}`
is transitive, but neither reflexive nor symmetric.

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