Question

Set B and the universal set U are defined as follows.

U={f,g,h,p,q,r}
B={g,q,r}

Find the following sets.
Write your answer in roster form or as Ø.

(a) B' U U =
(b) B ∩ Ø =

Answer 1

(a) B' U U = { f,g,h,p,q,r}

(b) B ∩ U = {g,q,r}

Explanation:

Greetings !

(a) B/c B'= {X: X∈U and X∉B}

thus,B'= {f,h,p}

B' U U= {f,h,p} U {f,g,h,p,q,r}

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

(b) B ∩ U= {g,q,r}