Let P and Q be two non-void relations on a set A. Which of the following statements are correct? I. P and Q are reflexive Rightarrow P cap Q is reflexive. say) II. P and Q are symmetric Rightarrow P cup Q is symmetric. θ III. P and Q are transitive Rightarrow P cap Q is transitiv

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 Select the answer using the code given below.


(a) Both I and II


(b) Both II and III


(c) Both I and III


(d) All I, II and III

Answer = Statement 1 :P cap Q is reflexive if P and Q are reflexive.


+0


Correct: If (a, a) \in P and (a, a) \in Q then (a, a) in P cap Q Statement II :P cup Q is symmetric if P and Q are symmetric Correct: If (a, b) in P cup Q then (b, a) \in Q (b, a) \in P So (b, a) in P cup Q Statement III: POQ is transitive if P and Q are transitive. Correct: If (a, b) in P cap Q and (b, c) in P cap Q then (a, c) in P cap Q .. Option (d) is correct.

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