Question:
If A = {1, 2, 4} and B = {1, 2, 3}, represent following sets graphically:
(i) A × B
(ii) B × A
(iii) A × A
(iv) B × B
Solution:
Given:
A = {1, 2, 4} and B = {1, 2, 3}
(i) A × B = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (4, 1), (4, 2), (4, 3)}.png)
(ii) B × A = {(1, 1), (1, 2), (1, 4), (2, 1), (2, 2), (2, 4), (3, 1), (3, 2), (3, 4)}.png)
(iii) A × A = {(1, 1), (1, 2), (1, 4), (2, 1), (2, 2), (2, 4), (4, 1), (4, 2), (4, 4)}.png)
(iv) B × B = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3)}