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If P = Q then P X Q = Q X P is true or not?(a) True(b) FalseThis question was posed to me in an internship interview.Enquiry is from Cartesian Product of Sets in division Relations and Functions of Mathematics – Class 11

Answer»

The correct option is (a) True

The BEST explanation: LET P = (x, y) and Q = (a, b)

P X Q = {(x, a), (x, b), (y, a), (y, b)}

Q X P = {(a, x), (a, y), (b, x), (b, y)}

If P = Q i.e. x=a and y=b then P X Q = {(a, a), (a, b), (b, a), (b, b)}

Q X P = {(a, a), (a, b), (b, a), (b, b)}.

Hence P X Q = Q X P.



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