Question

Here is a Venn diagram showing the sets A, B, and C, as well as the universal set U.Bxyr, z9CFind the set below. Write your answer in roster form or as Ø.An (BUC)' =ØX?РDAh5K

Answer 1

`A\cap(B\cup C)^(\prime)={}\lbrace f\rbrace`

Step-by-step explanation:

For a set D, the notation D' means the complement of set D.

We have, (B ∪ C) which means the union of sets B and C. Then:

`B\cup C=\lbrace g,h,x,y,p,r,z\rbrace`

Then the complement is everything outside (B ∪ C):

`(B\cup C)^(\prime)=\lbrace f,q\rbrace`

Finally, the symbol ∩ means the intersection, this is the elements that are shared with (B ∪ C)' and A: