Let A = {1,2,3}, B = {2,3,4}, C = {4,5} and D = {5,6,7,8}Verify that :(i) A × (B∩C) = (A×B)∩(A×C)(ii) A × C is a subset of B × D
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Solution 1
(i) A × (B∩C) = (A×B)∩(A×C)
First, we need to find the intersection of sets B and C, which is B∩C = {4}.
Then, we find the Cartesian product of A and (B∩C), which is A × (B∩C) = {(1,4), (2,4), (3,4)}.
Next, we find the Cartesian products of A and B, and A and C, which are A×B = {(1,2), (1,3), (1, Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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