Sets , , and are subsets of the universal set . These sets are defined as follows.

Question

U={f,g,h,p,q,r,x,y,z}

A={f,g,h,q,r}

B={q,r,x,z}

C={h,p,q,z}

Find (B′∩ A) ∪ C

.

Write your answer in roster form or as ∅

.

Answer 1

A={f,g,h,q,r}

B={q,r,x,z}

B' is every element that is not in B, but is in U

U={f,g,h,p,q,r,x,y,z}

B'={f,g,h,p,y}

B' intersection A ={f,g,h} f,g and h are not in B and are in A

C={h,p,q,z}

the union of C with the intersection of B' and A is {f,g,h,p,q,z}

= all elements either in C or in the intersection of B' and A