If A × B = \{(3,2),(3,4),(5,2),(5,4)\}, then find A and B.

Correct Answer is : A={3,5}A = \{3,5\}A={3,5} and B={2,4}B = \{2,4\}B={2,4}

Correct Answer is : A={3,5}A = \{3,5\}A={3,5} and B={2,4}B = \{2,4\}B={2,4}

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Question : 43 of 65

Marks: +1, -0

A \times B = \{(3,2),(3,4),(5,2),(5,4)\},

A

and B.

Solution:

Concept:

In a Cartesian product

A \times B

, each ordered pair has the first element from

A

and the second from

B

Explanation:

The given product is

A \times B = \{(3,2), (3,4), (5,2), (5,4)\}

Extract all distinct first elements:

3

and

5

. So

A = \{3,5\}

Extract all distinct second elements:

2

and

4

. So

B = \{2,4\}

Answer:

A = \{3,5\}

B = \{2,4\}

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