Draw Venn diagrams to describe sets A, B, and C that
satisfy the given conditions:
A ∩ B = ∅, A ⊆ C, C ∩ B = ∅
I have tried to draw the Venn diagram for the specified conditions:
But, I think the Venn Diagram I have drawn is not the correct one.
[Math] Draw Venn diagrams to describe sets: A ∩ B = ∅, A ⊆ C,C ∩ B = ∅
elementary-set-theory
Related Solutions
Emmad's second link is just perfect, IMHO. For something right in front of you, here's this:
While both diagrams represent the set $(A \setminus B ) \cup ( B \cap C )$, the second is done under the additional assumption that $A \cap C = \emptyset$. Generally Venn diagrams are supposed to represent all of the possible interactions between the sets they represent, and if you do not know beforehand that $A \cap C = \emptyset$, then the second diagram loses information (in my opinion, anyway).
As such, I would be hesitant to provide the second as an answer to the question, as you could have equally done the following: represent the sets $A , B , C$ as discs which do not overlap at all (this is the situation $A \cap B = \emptyset$, $A \cap C = \emptyset$ and $B \cap C = \emptyset$. Then $( A \setminus B ) \cup ( B \cap C )$ would be represented by filling in the $A$ circle, and leaving the rest blank.
Best Answer
We don't always have to draw three mutually intersecting circles. Indeed, the given statements translate to mean: