If A = {1, 2, 4} and B = {1, 2, 3}, represent following sets graphically:
i. A x B ii. B x A
iii A x A iv. B x B
given: A = {1, 2, 4} B = {1, 2, 3}
(i) To find: A × B
A × B = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (4, 1), (4, 2), (4, 3)}
(ii) To find: B × A
B × A = {(1, 1), (1, 2), (1, 4), (2, 1), (2, 2), (2, 4), (3, 1), (3, 2), (3, 4)}
(iii) To find: A × A
A × A = {(1, 1), (1, 2), (1, 4), (2, 1), (2, 2), (2, 4), (4, 1), (4, 2), (4, 4)}
(iv) To find: B × B
B × B = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3)}