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Question
Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2), (z, 1) are in A × B, write A and B
Solution
Given:
(x, 1), (y, 2), (z, 1) are in A × B
n(A) = 3 and n(B) = 2
\[(x, 1) \in A \times B \Rightarrow x \in A , 1 \in B\]
\[\text{ Similarly } , y \in A, 2 \in B\]
\[\text{ and } z \in A, 1 \in B\]
So, A = {x , y , z} and B = {1,2}
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