UPSKILL MATH PLUS
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Learn moreLet \(A = \{x \in \mathbb{W}|x < 2\}\), \(B = \{x \in \mathbb{N}|1 < x \leq 4\}\) and \(C = \{3,5\}\). Then verify that \((A \cup B) \times C = (A \times C) \cup (B \times C)\).
Answer:
To prove:
\((A \cup B) \times C = (A \times C) \cup (B \times C)\)
Explanation:
\(A \cup B =\) \(\{\)\(\}\)
\((A \cup B) \times C =\) \(\{\)\(\}\)
\(A \times C = \{\)\(\}\)
\(B \times C = \{\)\(\}\)
\((A \times C) \cup (B \times C) = \{\)\(\}\)
\((A \cup B) \times C = (A \times C) \cup (B \times C)\)
Hence, we proved.
[Note: Enter the first and the second coordinates of the ordered pairs in the increasing order.]
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