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

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

  • $\begingroup$ draw 2 Venn diagrams on transparencies $\endgroup$ – JMP Aug 15 '17 at 23:48
  • 1
    $\begingroup$ This should be a null set. $(A-C)$ has elements that are not in $C$. $(C-B)$ has elements in $C$. $\endgroup$ – 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 $(A\cup B\cup C)'$).

enter image description here

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).

  • $\begingroup$ Ah. I get it. Thanks so much Shuri and sorry for the silly question - just starting with Discrete mathematics and getting to know it all haha. Thanks again : ) $\endgroup$ – Oliver K Aug 16 '17 at 0:02

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