Question

A relation between A and B is

A) only A × B

B) An Universal set of A × B

C) An equivalent set of A × B

D) A subset of A × B​

Answer 1

Answer:

Here is your answer

Step-by-step explanation:

Part d

Answer 2

A relation between A and B is a subset of A × B

Given :

The set A and B

To find :

A relation between A and B is

A) only A × B

B) An Universal set of A × B

C) An equivalent set of A × B

D) A subset of A × B

Solution :

Step 1 of 2 :

Define cartesian product

Let A and B are two sets. Then the Cartesian product of A and B is denoted by A × B and defined as

$\sf{A \times B = \{(x, y) : x \in A \: \: and \: \: y \in B \}}$

Step 2 of 2 :

Choose the correct option

Here the given sets are A and B

A Relation R from A to B is a Subset of A × B

So a relation between A and B is a subset of A × B

Hence the correct option is D) A subset of A × B

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