Respuesta :

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[tex]P\cup Q[/tex] would be the set referring to everything within the sets [tex]P[/tex] and [tex]Q[/tex]. Their complement, [tex](P\cup Q)^C[/tex], would then be everything else outside the union. Intersecting that set with [tex]S[/tex] will give the shaded region, [tex](P\cup Q)^C\cap S[/tex].

Answer:

[tex](PUQ)^{c}[/tex]∩S            Option A

Step-by-step explanation:

Here a venn diagram is given. There are three sets given.

Set P, set Q, and set S is given all are intersect each other.

We need to write explain the region whose color is orange.

If we find the P∪Q it represent the common region then find the complement of  P∪Q that is [tex](PUQ)^{c}[/tex].

Now take the intersection with third set S.

[tex](PUQ)^{c}[/tex]∩S

So, Option A is correct.

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