Question

If A= {1,3,4,6,7} B= {1,2,3,7,6,9,4} C={3,2,7,9,6,1,5,8,4} depict sets A,B and C in a Venn diagram

Answer 1

We need to determine the following from the given sets,

$A\cap B\cap C=\{1,3,4,6,7\}=A$

$B\cap C=\{1,2,3,7,6,9,4\}=B$

$A\cap B^c=B^c\cap C=C^c\cap A=\empty$

$B\cap A^c=\{2,9\}$

$A^c\cap C=\{2,5,8,9\}$

$B^c\cap C=\{5,8\}$

The Venn diagram below shows the relationship between sets A, B and C