Question

Draw a Venn diagram of sets B,A and C where A . ⊆ ,B A ∩ C ≠ φ, B∩ C = φ
What is the universal set you have chosen? Justify your choice of sets in the
diagram.

Answer 1

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Answer on Question #80437 – Math – Discrete Mathematics

Question

Draw a Venn diagram of sets B, A and C where $A \cdot \subseteq$, $B \wedge A \cap C \neq \emptyset$, $B \cap C = \emptyset$. What is the universal set you have chosen? Justify your choice of sets in the diagram.

Solution

If $A \subseteq B$, then $A \cap C \subseteq B \cap C$. Hence $B \cap C$ shouldn't be empty because $A \cap C$ isn't empty.

Answer: it is impossible.