Q. 14.0( 4 Votes )

If A = {1, 2, 3},

Answer :

Given,


A = {1, 2, 3}, B = {4, 5, 6}


A relation from A to B can be defined as:


A × B = {(1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6)}


i. {(1, 6), (3, 4),(5, 2)}


No, it is not a relation from A to B. The given set is not a subset of A × B as (5, 2) is not a part of the relation from A to B.


ii. {(1, 5), (2, 6), (3, 4),(3, 6)}


Yes, it is a relation from A to B. The given set is a subset of A × B.


iii. {(4, 2), (4, 3), (5, 1)}


No, it is not a relation from A to B. The given set is not a subset of A × B as (4, 2), (4, 3), (5, 1) are not a part of the relation from A to B.


iv. A × B


A × B is a relation from A to B can be defined as:


{(1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6),(3, 4),(3, 5),(3, 6)}


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