$$A=\{1,3,5\},\qquad A\cup B=\{1,2,3,4,5,6\}.$$ Identify the elements that must belong to $B$. Ide

Question

$$A=\{1,3,5\},\qquad A\cup B=\{1,2,3,4,5,6\}.$$ Identify the elements that must belong to $B$. Identify the elements that may or may not belong to $B$. If $n(B)=4$, list every possible set $B$. Find the least and greatest possible values of $n(B)$ if the condition $n(B)=4$ is removed.

Accepted Answer

(a) $2,4,6$ (b) $1,3,5$ (c) $\{1,2,4,6\},\{2,3,4,6\},\{2,4,5,6\}$ (d) $3,6$

Sets

Sets