Which of the following is the negation of statement “a*b = b*a for every real number a and b”?(a) a*b ≠ b*a for every real number a and b(b) a*b = b*a for every real number a or b(c) There exists real number a and b for which a*b ≠ b*a(d) There exists real number a and b for which a*b = b*aI have been asked this question during an interview.Question is from Mathematical Reasoning topic in chapter Mathematical Reasoning of Mathematics – Class 11

Which of the following is the negation of statement “a*b = b*a for e

1.	Which of the following is the negation of statement “ab = ba for every real number a and b”?(a) ab ≠ ba for every real number a and b(b) ab = ba for every real number a or b(c) There exists real number a and b for which ab ≠ ba(d) There exists real number a and b for which ab = baI have been asked this question during an interview.Question is from Mathematical Reasoning topic in chapter Mathematical Reasoning of Mathematics – Class 11
Answer» Right choice is (c) There EXISTS REAL number a and b for which ab ≠ ba For explanation I WOULD say: Negation of for every is not for every. ab = ba not for every real number a and b. This MEANS There exists real number a and b for which ab ≠ ba.

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