Math 111 Jeopardy

List Elements

200

List all the elements of ∅

{}

400

List all the elements of the set {x ∈ N : x < 6}

{1,2,3,4,5}

600

List all the elements of the set {x ∈ Z : |x| < 4}

{-3,-2,-1,0,1,2,3}

800

List all the elements of the set {x ∈ N : |7x| < 6}

{}

1000

List all the elements of the set {x ∈ N : 10 < 2x < 20}

{6,7,8,9}

Set Builder

200

Write using set builder notation {1,2,3,4,5}

{x ∈ N : x < 6}

400

Write using set builder notation {2,4,6,8,10,...}

{2n : x ∈ N}

600

Write using set builder notation {...,-6,-3,0,3,6,9,12,...}

{3n : n ∈ Z}

800

Write in set builder notation {...,⅛,¼,½,1,2,4,8…}

{ 2^n : x ∈ Z }

1000

Write in set builder notation {3,6,11,18,27,38,51,...}

{2+n^2 :x ∈ N}

Cardinality and Cartesian Product

200

Let A={1,2,3,4}, B={dog, cat, bird}, C={red, blue, yellow} 

What is |A|

4

400

Let A={1,2,3,4}, B={dog, cat, bird}, C={red, blue, yellow}

What is |C|

3

600

Let A={1,2,3,4}, B={dog, cat, bird}, C={red, blue, yellow}

List all the elements of A X B

(1,dog),(2,dog),(3,dog),(4,dog),(1,cat),(2,cat),(3,cat),(4,cat),(1,bird),(2,bird),(3,bird),(4,bird)

800

Let A={1,2,3,4}, B={dog, cat, bird}, C={red, blue, yellow}

What is |A X B X C|

36

1000

Let A={1,2,3,4}, B={dog, cat, bird}, C={red, blue, yellow}

List 3 elements of the set A X C X B

Answers may vary

Subsets and Power Sets

200

Let L={1,2,3}, M={1,2,3,...,9,10}, T={2,4,6,8,10}

Is L ⊆ M?

Yes

400

Let L={1,2,3}, M={1,2,3,...,9,10}, T={2,4,6,8,10}

Is L ⊆ T?

No

600

Let L={1,2,3}, M={1,2,3,...,9,10}, T={2,4,6,8,10}

Is T ⊆ M?

Yes

800

Let L={1,2,3}, M={1,2,3,...,9,10}, T={2,4,6,8,10}

What is P(L)?

{empty set, {1}, {2}, {3}, {1,2}, {2,3}, {1,3}, {1,2,3}}

1000

Let L={1,2,3}, M={1,2,3,...,9,10}, T={2,4,6,8,10}

What is |P(M)|

1024

Set Operations

200

Let D={1,2,3,4,5}, E={1,3,5,7,9}, F={2,3,5,7,11}

Find D ∪ E

{1,2,3,4,5,7,9}

400

Let D={1,2,3,4,5}, E={1,3,5,7,9}, F={2,3,5,7,11}

Find E ∩ F

{3,5,7}

600

Let D={1,2,3,4,5}, E={1,3,5,7,9}, F={2,3,5,7,11}

Find F – D

{7,11}

800

Let D={1,2,3,4,5}, E={1,3,5,7,9}, F={2,3,5,7,11}

Find D ∪ E ∪ F

{1,2,3,4,5,7,9,11}

1000

Let D={1,2,3,4,5}, E={1,3,5,7,9}, F={2,3,5,7,11}

Find D ∩ E ∩ F

{3,5}