Question: Prove these 1. Let R be a relation, R: A- A, where R is both symmetric and transitive. Then prove the following: (Vx eA 3yEA

Prove these
 Prove these 1. Let R be a relation, R: A- A,

1. Let R be a relation, R: A- A, where R is both symmetric and transitive. Then prove the following: (Vx eA 3yEA (x Ry))- (R is an equivalence relation) 22. Let R and S be relations on a set A. If R and S are transitive then R U S is transitive

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