Question 1190042

U= {a,b,c,d,e,f,g} A={a,c,e,g,h} B={a,b,c,d} C={b,c,g,i}
(A U B') n (C n B)

first find B' -> all elements in U that are not in B

B'= {e,f,g}

then find

(A U B')-> all elements in A or in B'

(A U B')={a,c,e,g,h} U {e,f,g} ={a,c,e, f,g,h}

then find

(C n B)-> all elements in C and in B

(C n B)={b,c,g,i} n {a,b,c,d} ={b,c}

finally

(A U B') n (C n B)->all elements in (A U B') and (C n B)

(A U B') n (C n B)={a,c,e,f,g,h} n {b,c}  = { c}