Subjective Type

Given $$A ={2,3}, B = {4,5}, C ={5,6},$$ find (i) $$A\times \left( B\cap C \right) =\ .......$$ (ii) $$\left( A\times B \right) \cup \left( B\times C \right) =\ .......$$

Solution

(i) B∩C=5
A×(B∩C)={(2,5),(3,5)}
(ii) (A×B)={(2,4),(2,5),(3,4),(3,5)}
(B×C)={(4,5),(4,6),(5,5),(5,6)}
(A×B)∪(B×C)={(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,5),(5,6)}

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