# Drawing Venn diagrams - what is the best approach?

How can I construct a Venn diagram using a specific set formula? What are the steps involved?

Here is an example: $(A-C) \cap (C-B)$

• draw 2 Venn diagrams on transparencies – JMP Aug 15 '17 at 23:48
• This should be a null set. $(A-C)$ has elements that are not in $C$. $(C-B)$ has elements in $C$. – user1952500 Aug 15 '17 at 23:48

You always start with the same diagram (for questions involving $3$ sets). Draw three circles which represent sets $A,B,C$ which intersect each other and form a total of $8$ regions (including the outside, which is $(A\cup B\cup C)'$).
Then you locate the region described by what you're after - $(A-C)\cap(C-B)$. First mark regions $A-C$ and $C-B$. Then mark their intersection (which is empty as pointed out in the comments - so there is no region to mark in this case).