- Home
- Standard 11
- Mathematics
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
