Let $U = \{1, 2, 3, 4, 5, 6\}, A = \{1,4\}$ and $B = \{2,3,5\}$. Find $A’∩B’$.
Answer & explanation
Correct answer: option 3
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
$B’ = U-B = \{1, 2, 3, 4, 5, 6\} – \{2,3,5\} = \{1,4,6\}$
$A’∩B’=\{2,3,5,6\} ∩ \{1,4,6\} = \{6\}$