NCERT Class XI Mathematics - Relations and Functions - Solutions
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Question : 3
Total: 36
If G = {7, 8} and H = {5, 4, 2}, find G × H and H × G.
Solution:
We have G = {7, 8} and H = {5, 4, 2}
Then, by the definition of the cartesian product, we have
G × H = {(7, 5), (7, 4), (7, 2), (8, 5), (8, 4), (8, 2)}
H × G = {(5, 7), (5, 8), (4, 7), (4, 8), (2, 7), (2, 8)}.
Then, by the definition of the cartesian product, we have
G × H = {(7, 5), (7, 4), (7, 2), (8, 5), (8, 4), (8, 2)}
H × G = {(5, 7), (5, 8), (4, 7), (4, 8), (2, 7), (2, 8)}.
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