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Let R be a relation from A = {1, 2, 3, 4} to B = {1, 3, 5}. Which of the following statements is true?

1. R is a subset of A × B
2. R is a subset of B × A
3. R is a subset of A × A
4. R is a subset of B × B

Correct answer: R is a subset of A × B

Solution

A relation R from set A to set B is by definition a subset of the Cartesian product A x B. Hence R is a subset of A x B.

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