$$\xi=\{1,2,3,4,5,6\},\qquad A=\{1,2,3\}.$$ A set $B$ satisfies \[n(B)=3,\qquad A\cup B=\xi,\

Question

$$\xi=\{1,2,3,4,5,6\},\qquad A=\{1,2,3\}.$$ A set $B$ satisfies $$n(B)=3,\qquad A\cup B=\xi,\qquad A\cap B=\varnothing.$$ Find $B$. Change only the condition $n(B)=3$ to $n(B)=4$. Can all the conditions still hold? Justify your answer.

Accepted Answer

(a) $B=\{4,5,6\}$ (b) No

Sets

Sets

Solution:

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