Question: Suppose R and S are binary relations on a set A . ( a ) If R and S are reflexive, is RTS reflexive? Why?

Suppose R and S are binary relations on a set A.
(a) If R and S are reflexive, is RTS reflexive? Why?
(b) If R and S are symmetric, is RTS symmetric? Why?
(c) If R and S are transitive, is RTS transitive? Why?

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