Question

Circles A, B, and C overlap. x is in the overlap of circles A and B.
Which of the following are true about x? Check all that apply.

x ∉ A
x ∈ B
x ∉ C
x ∈ A ⋃ B
x ∈ A ⋃ C
x ∈ A ⋂ B

Answer 1

Given "x is in the overlap of circles A and B" means x ∈ A ∩ B (x is in both A and B). Therefore:

- x ∉ A — False (x ∈ A).
- x ∈ B — True.
- x ∉ C — Not necessarily true (could be in C as well), so do not check.
- x ∈ A ∪ B — True (being in A and B implies being in the union).
- x ∈ A ∪ C — True (being in A implies being in A ∪ C).
- x ∈ A ∩ B — True (given).