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

Question

Philoid · Accepted Answer

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)}