Question

if A= (1,2,3), B=(5,6), Find A and B​

Answer 1

Step-by-step explanation:

Given:

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

Thus, we have:

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)}

Since it is not a subset of A × B, it is not a relation from A to B.

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

Since it is a subset of A × B, it is a relation from A to B.

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

Since it is not a subset of A × B, it is not a relation from A to B.

(iv) A × B

Since it is a subset (equal to) of A × B, it is a relation from A to B...