Question

A relation between Aand B is​

Answer 1

Question :

Fill in the blank :-

A relation between A and B is .

Answer :

a subset of A×B

Solution :

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

Explanation :

• Cartesian Product : If A and B are any non-empty sets then the set of all ordered pairs (a , b) such that a € A and b € B is called the cartesian product of the set A with set B and it is denoted by A×B .

→ A×B = { (a , b) : a € A and b € B } .

• Relation : if A and B are two sets then a relation R from A to B is a subset of A×B .

→ R ⊆ A×B