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Is relation from set A to set B is always equal to relation from set B to set A.

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in Mathematics - Class 11 by (789k points)
Is relation from set A to set B is always equal to relation from set B to set A.

(a) True

(b) False

The question was posed to me during an interview for a job.

Question is from Relations topic in chapter Relations and Functions of Mathematics – Class 11

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Best answer
Correct option is (b) False

To elaborate: A relation from a non-empty set A to a non-empty set B is a subset of cartesian product A X B. A relation from a non-empty set B to a non-empty set A is a subset of cartesian product B X A.

Since A X B ≠ B X A so, both relations are not equal.

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