Respuesta :
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.