PDF chapter test TRY NOW
If \(A = \{5,6\}\), \(B = \{4,5,6\}\), \(C = \{5,6,7\}\). Show that \(A \times A = (B \times B) \cap (C \times C)\)
Answer:
\(A \times A =\) \(\{\)\(\}\)
\(B \times B =\) \(\{\)\(\}\)
\(C \times C =\) \(\{\)\(\}\)
\((B \times B) \cap (C \times C) =\) \(\{\)\(\}\)
Therefore, \(A \times A = (B \times B) \cap (C \times C)\).
Hence, we proved.
[Note: Enter the first and the second coordinates of the ordered pairs in the increasing order.]
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