If G = {7, 8} and H = {5, 4, 2}, find G × H and H × G
G x H = (7, 8) x (5, 4, 2)
= {(7, 5).(7,4),(7,2),(8,5)(8,4),(8,2)}
H x G = {5, 4, 2) x (7, 8}
= {(5, 7), (5, 8), (4, 7), (4, 8), (2, 7), (2, 8)}
If A = {–1, 1}, find A × A × A.
A X A X A = {(-1, -1, -1) (-1, -1, 1)(-1, 1, -1), (-1, 1, 1), (1, -1, -1), (1, -1: 1), (1, 1, -1), (1, 1, 1)}
State whether each of the following statements are True or False. If the statement is False, re-write it correctly.
.
(i) P = {m, n}, Q = {n, m}
n(P|) = 2, n(Q) = 2
n(P xQ) =n(P) x n(Q) = 2 x 2 = 4
But, it is given that P x Q = {(m, n).(n, m)}
n(P x Q) = 2
Hence, the statement is False.
Also, P x Q = {m, n} x {n , m} = {(m, m), (m, n), (n, n), (n, m)}
(ii) The statement is False. The correct statement is 
(iii) The statement is true as 
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, find the values of x and y.
