If G = {7, 8} and H = {5, 4, 2}, find G × H and H × G

Solution:

It is given that G = {7, 8} and H = {5, 4, 2}

We know that the Cartesian product P x Q of two non-empty sets P and Q is defined as

P x Q = {(p, q) : p ∈ P, q ∈ Q}

Therefore,

G x H = {(7, 5), (7, 4), (7, 2), (8, 5), (8, 4), (8, 2)}

H x G = {(5, 7), (5, 8), (4, 7), (4, 8), (2, 7), (2, 8)}

NCERT Solutions Class 11 Maths Chapter 2 Exercise 2.1 Question 3

If G = {7, 8} and H = {5, 4, 2}, find G x H and H x G

Summary:

A set G = {7, 8} and H = {5, 4, 2} is given. We have found that the number of elements in (G × H) is 6