Find R : A → A when A = {1, 2, 3, 4} such thatR = {(a, b) / |a – b

1.	Find R : A → A when A = {1, 2, 3, 4} such thatR = {(a, b) / \|a – b\| ≥ 0}
Answer» R : A → A, A = {1, 2, 3,4} R = {(a, b) / \|a – b\| ≥ 0} = {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4), (4, 1), (4, 2), (4, 3), (4, 4)} A × A = {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4), (4, 1), (4, 2), (4, 3), (4, 4)} ∴ R = A × A

Find R : A → A when A = {1, 2, 3, 4} such thatR = {(a, b) / |a – b| ≥ 0}

Answer»

R : A → A, A = {1, 2, 3,4}

R = {(a, b) / |a – b| ≥ 0}

= {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4), (4, 1), (4, 2), (4, 3), (4, 4)}

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

∴ R = A × A