Answer:
(A)x ∈ B ⋃ C
(B)x ∈ B ∩ C
(C)x ∈ A ⋃ C
Step-by-step explanation:
A diagram has been created and attached for more understanding.
If the overlap of circles B and C is labeled x.
Then: [tex]x \in (B \cap C)[/tex]
If x is contained in the intersection of B and C, it means that:
[tex]x \in B $ and x \in C.\\$Therefore:\\x \in B \cup C[/tex]
Finally:
[tex]x \in C $ and x \notin A\\$x will be in the union of A and C\\Therefore, x \in A \cup C[/tex]
The correct options are A, B and C.
