Tidewater Community College Set Theory Basics Questions

I’m working on a mathematics question and need an explanation and answer to help me learn.

2. Let S = {1,2,3,…,18,19,20} be the universal set.

Let sets A and B be subsets of S, where:

Set $A=\{1,2,12,13,14,16,17,18\}$

Set $B=\{2,3,4,6,7,13,15,16,17,19,20\}$

LIST the elements in Set A and Set B: { }

LIST the elements in Set A or Set B: { }

Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE

You may want to draw a Venn Diagram to help answer this question.

3.Let U={1,2,3,…,10}, $A=${1,3,5,7}, $B=${1,2,3,4}, and $C=${3,4,6,7,9}.

Select $A^c$

Ac from the choices below.

• {2,3,4,5,7,9}
• {2,4,6,8,9,10}
• {2,4,5,7,8,9}
• {1,5,6,7,8,9}
• {2,3,4,5,7,9}
• $?$

4. Let $S$ be the universal set, where:
$S=\{1,2,3,\dots ,18,19,20\}$
Let sets $A$ and $B$ be subsets of $S$, where:

Set $A=\{1,3,6,7,8,11,12,14,16,17,19,20\}$

A={1,3,6,7,8,11,12,14,16,17,19,20}

Set $B=\{1,2,3,5,6,7,13,18\}$

B={1,2,3,5,6,7,13,18}

Find the following:

LIST the elements in the set ($A?B$

A?B):
$(A?B)$ = { }
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE

LIST the elements in the set ($A?B$

A?B):
$(A?B)$ = { }
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE

You may want to draw a Venn Diagram to help answer this question.

5.Let $S=\{1,2,3,4,5,6,7,8,9,10\}$ be the universal set.

Let sets $A$

A, $B$, and $C$ be subsets of $S$, where:

Set $A=\{1,5,7,9,10\}$

A={1,5,7,9,10}

Set $B=\{1,3,10\}$

B={1,3,10}

Set $C=\{3,4,6,9\}$

C={3,4,6,9}

LIST the elements in the set $A?B?C$

A?B?C:
$A?B?C$ = { }

LIST the elements in the set $A?B?C$

A?B?C:
$A?B?C$ = { }

Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE

6.Suppose you have 14 tubes of paint. How many distinct color groupings can you make with your paint?

7.Let $U$ be the universal set, where:
$U=\{a,b,c,d,e,f,g,h\}$
Let sets $A$, $B$, and $C$ be subsets of $U$, where:

$A=\{a,c,$