Let $U = \{1, 2, 3, 4, 5, 6\}, A = \{1,4\}$ and $B = \{2,3,5\}$. Find $A’∩B’$. |
$\{2,3,5,6\}$ $\{1,2,3\}$ $\{6\}$ $\{1,2,3,4,5,6\}$ |
$\{6\}$ |
The correct answer is Option (3) → $\{6\}$ Complement of a set A is a set which contains elements of U which are not the elements of A. $A’ = U-A = \{1, 2, 3, 4, 5, 6\} – \{1,4\} = \{2,3,5,6\}$ and $B’ = U-B = \{1, 2, 3, 4, 5, 6\} – \{2,3,5\} = \{1,4,6\}$ $A’∩B’=\{2,3,5,6\} ∩ \{1,4,6\} = \{6\}$ |