A={2,4,6,8}, 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. An(B¹nC¹)
b. (AuB)n(BuC)

C¹ = {2,4,5,6,7,8,9}

B¹ = {4,5,6,8}

a. An(B¹nC¹) = An({4,5,6,8} n {2,4,5,6,7,8,9})
= An({4,5,6,8})
= {4,5,6,8}

b. (AuB)n(BuC) = ({2,4,6,8,3,7,9} n {4,5,6,8}) n ({2,4,6,8} u {3,7,9})
= ({4,6,8}) n ({2,3,4,6,7,8,9})
= {4,6,8}