Hello I am looking for help to understand how to go about the following.
Suppose we have some set B and are given that $$A \cup B=B \cap C$$
Then what would this tell us about B and C.
I tried to draw a venn diagram, but it didnt really make much sense.
I know that from definitions that the equality would mean that $$A \cup B \subset B \cap C$$ and that $$B \cap C \subset A \cup B$$
but im not to sure how to proceed? Could anyone help? Thanks