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set theory

Total questions: 15

Worksheet time: 1hrs 2mins

Name
Class
Date
1.
What type of set is denoted as either { } or ∅?
a)
Universal Set
b)
Empty (or Null) Set
c)
Disjointed Set
d)
Complement of a Set
2.
Left Pocket (L) = {pencils, erasers, pens}
Right Pocket (R) = {gloves, paper, coins, phone}
What is L ∪ R?
a)
b)
{pencils, erasers, pens}
c)
{gloves, paper, coins, phone}
d)
{pencils, erasers, pens, gloves, paper, coins, phone}
3.
Left Pocket (L) = {pencils, erasers, pens}
Right Pocket (R) = {gloves, paper, coins, phone}
What is L ∩ R?
a)
b)
{pencils, erasers, pens}
c)
{gloves, paper, coins, phone}
d)
{pencils, erasers, pens, gloves, paper, coins, phone}
4.
What does this symbol ( ∩ ) represent in set theory?
a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
5.

What does this symbol ( ∪ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

6.
What does this symbol ( ⊆ ) represent in set theory?
a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
7.
X ∩ Y ∩ Z
a)
{ }
b)
{Phillip}
c)
{Billy, Phillip, Bryan, Perez}
d)
{Billy, Perez, Bryan}
8.
Z ∪ Y
a)
{ }
b)
{Sarah, Gabino, Ja-Leah, Billy, Phillip, Bryan, Perez, Gabriel, William}
c)
{Brittney, Na'Quan, Bryan, Gabriel, William}
d)
{Gabriel, William, Bryan, Phillip, Perez}
9.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

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

10.
The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is the complement of A?
a)
{-4, -3, -2, -1, 0, 1, 2, 3}
b)
{-3, -2, -1, 1, 2, 3}
c)
{-4, -3, -2, -1, 1, 2, 3, 4}
d)
{-4, -3, -2, -1, 1, 2, 3}
11.
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?
a)
{3, 5, 7}
b)
{2, 3, 5, 7}
c)
{2, 3, 5, 7, 9}
d)
{1, 2, 3, 5, 7, 9}
12.
If
P = {0, 1, 2, 3, 4}, 
Q = {4, 6, 8}
R = {6, 12, 18} Then what is (P ∩ Q) ∪ (Q ∩ R)?

a)
{4}
b)
{4, 6}
c)
{4, 6, 8}
d)
{1, 2, 3, 4, 6, 8}
13.
If A = {1, 2, 3, 4, 5, 6}, B = {1, 2, 3, 5, 7, 9} and C = {3, 5, 6, 7, 8, 9}, what is (A ⋃ B) ⋂ (B ⋃ C)?
a)
{1, 2, 3, 4, 5, 6, 7, 9}
b)
{1, 2, 3, 4, 5, 6, 7, 8, 9}
c)
{1, 2, 3, 5, 6, 7, 9}
d)
{ }
14.

If

A = {1, 3, 5, 15},

B = {2, 3, 5, 7}

C = {2, 4, 6, 8}

then what is (A U B) ∩ C ?

a)

{1,3,5}

b)

{1,2,3}

c)

{2,3,5}

d)

{2}

15.

If

P = {0, 1, 2, 3, 4}, Q = {4, 5, 6, 7}

R = {3, 6, 9}, and S = {6, 12, 18}

Then what is (P ∪ Q) ∩ (S ∪ R)?

a)

{6}

b)

{3, 6}

c)

{4, 6}

d)

{1, 2, 3, 4, 5, 6, 7, 9, 12, 18}