Question

Given the sets A=\ 0,1,3\ , B=\ 1,4,5\ , and C=\ 0,1,3,4,5\ , what is A n B n C

Answer 1

You have the following sets:

$\begin{gathered} A=\mleft\lbrace0,1,3\mright\rbrace \\ B=\mleft\lbrace1,4,5\mright\rbrace \\ C=\mleft\lbrace0,1,3,4,5\mright\rbrace \end{gathered}$

You can sketch a Venn diagram to determine the shared elements between the sets:

From the Venn diagram you can determine the elements that are shared by each set:

The sets A and C share the elements: A∩C= {0,3}

The sets B and C share the elements: B∩C= {4,5}

The sets A and B share no elements: A∩B= ∅

The three sets share one element so that: A∩B∩C= {1}