Question

HELP
Which statement best describes the shaded region in the Venn diagram?

Answer 1

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

Answer 2

`(PUQ)^(c)`∩S Option A

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
`(PUQ)^(c)`.

Now take the intersection with third set S.

`(PUQ)^(c)`∩S

So, Option A is correct.