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Set Theory

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Answer given is A.Is it correct?

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Option B :-

let take R={(5,7),(7,5),(5,5),(7,7)}, S={(7,9),(9,7)(7,7),(9,9)}

R U S = {(5,7),(7,5),(5,5),(7,9),(9,7)(7,7)} ===> Not transitive due to (5,9) or (9,5) not exist

 

Option C :-

let take R={(5,7),(7,5),(5,5),(7,7)}, S={(7,9),(9,7)(7,7),(9,9)}

R - S = {(7,5),(5,7),(5,5)} ===> Not transitive due to (7,5) or (5,7) but (7,7) not exist

 

Option D :-

let take R={(5,7),(7,5),(5,5),(7,7)}, S={(7,9),(9,7)(7,7),(9,9)}

S - R = {(7,9),(9,7),(9,9)} ===> Not transitive due to (7,9) or (9,7) but (7,7) not exist

 

∴Option A is correct

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