Question

a) Let U = {1,2, ., 9} be the universal set, and letA = {1,2,3,4,5),C= {5, 6, 7, 8, 9), E= {2,4,6,8),B = {4, 5, 6, 7),D= {1, 3, 5, 7, 9), F = {1,5,9}.Find: AUC'

Answer 1

Given:

U = {1, 2, 3, 4, 5, 6, 7, 8, 9}

A = {1,2,3,4,5}

B = {4, 5, 6, 7}

C = {5, 6, 7, 8, 9}

D= {1, 3, 5, 7, 9}

E= {2, 4, 6, 8}

F = {1, 5, 9}

What is the question: Find AUC'.

Recall the following:

A ∩ C (read as A intersection C) - are members that are common to both set A and set C.

A ∪ C (read as A union C) - are members that are in set A or set C or both, combining the members of all sets.

C' (read as C complement) - are members that are not in the universal set.

Since what we are about to find is A ∪ C', let's first determine the members of C'.

We get,

C' = {1, 2, 3, 4}

A = {1,2,3,4,5}

Therefore, AUC' = {1,2,3,4,5}.