Set Theory Vocab Review

Every set has _____ as one of its subsets (select all that apply.)

• 0

• { }

• the real numbers

• itself

Let
A = {2, 3, 4, 5, 6, 7}
B = {2, 4, 7, 8)
C = {2, 4}.

Which of the following mathematical statements is true?

•  $B\subseteq A$  

•  $C\subseteq B$  

•  $A\subseteq C$  

•  $B\subseteq C$  

True or False:  $Ralph\ \subseteq\left\{Ralph,\ Alice,\ Trixie,\ Norton\right\}$  

• True

• False

Determine the cardinality of the set of positive integers that are less than 39 and are multiples of 4.

(a)  

Tags

CCSS.3.OA.D.9

Of the sets that are listed below, which ones are subsets of the set {0, 1, 2, 3, 4, 5}? Select all that apply.

• {0}

• {0, 1, 3, 4, 5}

• {0, 1, 2, 3, 4, 5, 8}

• {0, 1, 4, 5}

• {0, 6, 2, 3, 4, 5}

List the elements of the above set using set-builder notation. You do not need brackets here.

(a)  

If P = {a, b, c} then the number of proper subsets of P is

• 8

• 3

• 7

• 4

D = {-4, 6, 13, 24, 32, 40}
E = {Toby, Ryan, Celeste, Brian, Jerry}
F = {-10, 4, 6, 17, 45, 48}
G = {Toby, Carlos, Amy, Luke, Jerry, Ryan}
H = {4, 17, 48}

Which of the following is false?

D = {-4, 6, 13, 24, 32}
E = {Toby, Ryan, Celeste, Brian}
F = {-10, 4, 6, 17, 45}
G = {Amy, Carlos, Toby, Luke}
H = {4, 17}

Which of the following statements is true?

•  $Toby\ \subseteq E$  

•  $45\ \notin D$  

•  $Luke\notin G$  

•  $-10\in H$  

Determine the cardinality of the set

{g, r, i, m, s, l, e, y}.

(a)  

Tags

CCSS.1.NBT.A.1