Question

Circles A, B, and C overlap. The overlap of circles B and C is labeled x. Which statements are true about x? Select three options. x ∈ B ⋃ C x ∈ B ∩ C x ∈ A ⋃ C x ∈ A ∩ C x ∈ A

Answer 1

Answer: A, B, C

just took it on edge

Answer 2

(A)x ∈ B ⋃ C

(B)x ∈ B ∩ C

(C)x ∈ A ⋃ C

Explanation:

A diagram has been created and attached for more understanding.

If the overlap of circles B and C is labeled x.

Then:
`x \in (B \cap C)`

If x is contained in the intersection of B and C, it means that:

`x \in B $ and x \in C.\\$Therefore:\\x \in B \cup C`

Finally:

`x \in C $ and x \\otin A\\$x will be in the union of A and C\\Therefore, x \in A \cup C`

The correct options are A, B and C.