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1.Set Theory
easy
Let $U = \{ 1,\,2,\,3,\,4,\,5,\,6,\,7,\,8,\,9,\,10\} $, $A = \{ 1,\,2,\,5\} ,\,B = \{ 6,\,7\} $, then $A \cap B'$ is
A
$B'$
B
$A$
C
$A'$
D
$B$
Solution
(b) $B' = \{ 1,\,2,\,3,\,4,\,5,\,8\,,9,\,10\} $
$\therefore A \cap B' = \{ 1,\,2,\,5\} \cap \{ 1,\,2,\,3,\,4,\,5,\,8,\,9,\,10\} = \{ 1,\,2,\,5\} = A$
Standard 11
Mathematics