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

A, B and C.

Explanation:

edge

Answer 2

Given:

Circles A, B, and C overlap.

The overlap of circles B and C is labeled x.

To find:

The three correct statements about x.

Solution:

It is given that the overlap of circles B and C is labeled x. It means x represent the common elements of B and C.

So, x belongs to the intersection and union of B and C.

`x\in B\cup C`

`x\in B\cap C`

Since x is the element of C, therefore it is also the element of A union C.

`x\in A\cup C`

The overlap of circles B and C is labeled x. It means
`x\\otin A`. So,

`x\\otin A\cap C`.

Therefore, the correct options are A, B and C.