Exam #1 - Set Theory

List the members in the following set: { even numbers less than 12 }

• {2, 6, 8, 10, 12}

• (2 4 6 8 10)

• {2, 4, 6, 8, 10}

• {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

List the members in the following sets: B = { letters used in the word 'mathematics' }

• B = { m, a, t, h, e, m, a, t, i, c, s}

• B = { m, h, e, a, t, i, c, s}

• B = { m, a, t, h, e, a, t, i, c, s}

• B = {s, c, i, t, a, m, e, h, t, a, m}

Which of the following symbols represent "is a member of" 

•  $\infty$  

•  $\notin$  

•  $\subset$  

•  $\in$  

What is a finite set?

• All elements in the set are equal

• All elements in the set can be named and not counted

• All elements in the set can be counted and named

• All elements in the set has a set which can be counted.

Let B = {a,b,c,d} and C = {d,c,b,a}. Sets B and C are ____ sets?

• Equal

• Equilateral

• Unequal

• Equivalent

The Universal set is represented by:

• $\cap$

• $\exists$

• $\cup$

• $\subseteq$

Equivalent sets have:

• The exact same elements

• The same number of subsets

• Nothing

• The opposite elements

Let S = (2, 4, 6, 8, 10, 12, 14, 16}, calculate the number of subsets in S

• 16

• 512

• 280

• 256

The notation n(B) means: ______________

• The number of elements in set B

• The number of sets in set B

• The number of elements outside set B

• The number of elements not included in set B

If B and A are two sets, and all the elements in B is contained in A, then:

•  $A\notin B$  

  
  

•  $B\ \subset\ A$  
  

•  $A\ \exists\ B$  

•  $A\ \cap\ B$