You are given $$A=\{1,2,3,4\},$$$$A\cup B=\{1,2,3,4,5,6\},$$$$A\cap B=\{2,4\}.$$ Determine $B$ and

Question

You are given $$A=\{1,2,3,4\},$$$$A\cup B=\{1,2,3,4,5,6\},$$$$A\cap B=\{2,4\}.$$ Determine $B$ and explain why your answer is unique.

Accepted Answer

$B=\{2,4,5,6\}$

Sets