Given \(A = \{-6,1,6\}\), \(B = \{1,6,8\}\), \(C = \{6,4\}\) and \(D = \{1,6,8\}\), check if \((A \cap C) \times (B \cap D) = (A \times B) \cap (C \times D)\) is true?
Answer:
\(A \cap C =\)
\(B \cap D =\)
\((A \cap C) \times (B \cap D) =\)
\(A \times B =\)
\(C \times D =\)
\((A \times B) \cap (C \times D) =\)
Therefore, \((A \cap C) \times (B \cap D) = (A \times B) \cap (C \times D)\) is true.
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