Answer:
[tex]A\,\cap\,C = \{3,5,6\}[/tex]
Step-by-step explanation:
From Set Theory we know that intersection is a binary operation between two sets consisting in labeling the common elements of both sets. If [tex]A=\{1,2,3,4,5,6\}[/tex] and [tex]C =\{3,5,6,7,8,9\}[/tex], then [tex]A\,\cap\,C = \{3,5,6\}[/tex].