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  • If A= {1,2, 3}, 5= {3,4} and C= {4, 5, 6}, then (A x B) ∪ (A x C) = {(1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 5), (2, 6), (3, 3), (3,4), (3, 5), (3,6)}.

If A= \left \{1,2, 3\right \}, 5= \left \{3,4\right \} and\: \: C= \left \{4, 5, 6\right \}, then(A \times B) \cup (A \times C) = \left \{(1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 5), (2, 6), (3, 3), (3,4), (3, 5), (3,6)\right \}.

Answers (1)

Given data: A= \left \{1,2, 3\right \}, 5= \left \{3,4\right \} and\: \: C= \left \{4, 5, 6\right \}

Now,A \times B = \left \{(1,3),(1,4),(2,3),(3,3),(3,4)\right \}

A \times C = \left \{(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)\right \}

Now,(A \times B) \cup (A \times C) = \left \{(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,3),(3,4),(3,5),(3,6)\right \}.

Thus, the given statement is true.

Posted by

infoexpert21

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