Let A={1,2,3}, B={3,4} and C={4,5,6} . Find (A × B) cup(A × C)

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2.Relations and Functions

easy

Let $A=\{1,2,3\}, B=\{3,4\}$ and $C=\{4,5,6\} .$ Find

$(A \times B) \cup(A \times C)$

Option A

Option B

Option C

Option D

Solution

Using the sets $A \times B$ and $A \times C$ from part $(ii)$ above, we obtain

$(A \times B) \cap(A \times C)=\{(1,4),(2,4),(3,4)\}$

$(A \times B) \cup(A \times C)=\{(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)$

$(3,3),(3,4),(3,5),(3,6)\}$

Standard 11

Mathematics

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