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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


Sagot :

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.

[tex]x\in B\cup C[/tex]

[tex]x\in B\cap C[/tex]

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

[tex]x\in A\cup C[/tex]

The overlap of circles B and C is labeled x. It means [tex]x\notin A[/tex]. So,

[tex]x\notin A\cap C[/tex].

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

Answer:

A, B and C.

Step-by-step explanation:

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