We are provided with the fact that the set A has 3 elements and the set B is given as {3, 4,5} .
So, the number of elements in set B is 3 .
Thus, the number of elements in (A × B) will be,
= Number of elements in A × Number of elements in B
= 3 × 3 = 9
So, the number of elements in (A × B) is 9 .
Answered by Abhisek | 1 year agoLet 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 = {3, 4, 5, 6} and R = {(a, b) : a, b ϵ A and a
(i) Write R in roster form.
(ii) Find: dom (R) and range (R)
(iii) Write R–1 in roster form
Let A = (1, 2, 3} and B = {4} How many relations can be defined from A to B.
Let R = {(x, x2) : x is a prime number less than 10}.
(i) Write R in roster form.
(ii) Find dom (R) and range (R).
If A = {5} and B = {5, 6}, write down all possible subsets of A × B.