A={2,4,6,9},B={2,3,7,9} and C={x:3< x <9} are subsets of the universal set U={2,3,4,5,6,7,8,9}.find :A n(B'nC) and (AuB) n(BuC)

Question

A={2,4,6,9},B={2,3,7,9} and C={x:3< x <9} are subsets of the universal set
U={2,3,4,5,6,7,8,9}.find :A n(B'nC) and (AuB) n(BuC)

Answer 1

B' = {4,5,6,8}

C = {4,5,6,7,8}

 

B' intersect C = {4,5,6,8}

 

A intersect (b' intersect C) = {2,4,6,9} intersect {4,5,6,8} = {4,6}

 

A U B = {2,3,4,6,7,9}

B U C = {2,3,4,5,6,7,8,9} which is the same as the universal set

 

(A U B) intersect (B U C) = {2,3,4,6,7,9}