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

True:
- x ∈ B ∪ C — if x is in B and C it is certainly in their union.
- x ∈ B ∩ C — x is the overlap of B and C, so it lies in both.
- x ∈ A ∪ C — since x ∈ C, it belongs to A ∪ C.

False:
- x ∈ A ∩ C — not necessarily, x might not lie in A.
- x ∈ A — not necessarily.