Question

Let R and S be two relations on a set A. Then (a) R and S are transitive, then $R \cup S$ is also transitive (b) R and S are transitive, then $R \cap S$ is also transitive (c) R and S are reflexive, then $R \cap S$ is also reflexive (d) R and S are symmetric then $R \cup S$ is also symmetric

          Let R and S be two relations on a set A. Then
(a) R and S are transitive, then $R \cup S$ is also transitive
(b) R and S are transitive, then $R \cap S$ is also transitive
(c) R and S are reflexive, then $R \cap S$ is also reflexive
(d) R and S are symmetric then $R \cup S$ is also symmetric

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Let R and S be two relations on a set A. Then
(a) R and S are transitive, then R ∪ S is also transitive
(b) R and S are transitive, then R ∩ S is also transitive
(c) R and S are reflexive, then R ∩ S is also reflexive
(d) R and S are symmetric then R ∪ S is also symmetric

Added by Lisa N.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

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