Find a and b when (a – 2b, 13) = (7, 2a – 3b)

Let R = {(a, b) : a, b, ϵ N and a < b}.

Show that R is a binary relation on N, which is neither reflexive nor symmetric. Show that R is transitive.

Let A and B be two sets such that n(A) = 5, n(B) = 3 and n(A ∩ B) = 2.

(i) n(A ∪ B)

(ii) n(A × B)

(iii) n(A × B) ∩ (B × A)

If A = {1, 2}, find A × A × A.

If A = {2, 3, 4} and B = {4, 5}, draw an arrow diagram represent (A × B}.