Question

a relation r from a non-empty set a to a non-empty set b is a of the the Cartesian product A×1​

Answer 1

SOLUTION

CORRECT QUESTION

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A relation R from a non-empty set A to a non-empty set B is a ____ of the the Cartesian product A × B

CONCEPT TO BE IMPLEMENTED

SET : A set is a well defined collection of distinct objects

SUBSET : A set S is a subset of T if every element of S is an element of T

It is denoted by $\sf{S \subseteq T}$

CARTESIAN PRODUCT

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

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

RELATION

Let A and B are two non empty sets. Then a Relation R from A to B is a subset of A × B

EVALUATION

A relation R from a non-empty set A to a non-empty set B is a SUBSET of the the Cartesian product A × B

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