If A = {2, 3, 4, 8, 10}, B = {3, 4, 5, 10, 12}, C = {4, 5, 6, 12, 14} then (A cap B) cup (A cap C) i

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1.Set Theory

easy

If $A = \{2, 3, 4, 8, 10\}, B = \{3, 4, 5, 10, 12\}, C = \{4, 5, 6, 12, 14\}$ then $(A \cap B) \cup (A \cap C)$ is equal to

A

$\{3, 4, 10\}$

B

$\{2, 8, 10\}$

C

$\{4, 5, 6\}$

D

$\{3, 5, 14\}$

Solution

(a) $A \cap B = \{ 2,\,3,\,4,\,8,\,10\} \cap \{ 3,\,4,\,5,\,10,\,12\} $

$ = \{ 3,\,4,\,10\} $, $A \cap C = \{ 4\} $.

$\therefore (A \cap B) \cup (A \cap C) = \{ 3,\,4,\,10\} $.

Standard 11

Mathematics

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