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SMTH 012 Quiz 1

Total questions: 20

Worksheet time: 32mins

Name
Class
Date
1.

If A = {{1,2}, 3, 5, {6}}, then {1,2} ⊆ A.

a)

TRUE

b)

FALSE

2.

If A = {{1,2}, 3, 5, {6}}, then {6} ∈ A.

a)

TRUE

b)

FALSE

3.
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}
4.

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

NB: Include calculations aside to show how you arrived at the answer. No mark if this is not done.

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

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

5.
Determine if the statement is true or false.
{10, 12, 14, 16} ⊆ {1,2,3,4,...99}
a)
True
b)
False
6.
{A, B, C, D, E, F, G, H, I, J, K, L, M}
a)
Roster Form
b)
Universal Form
c)
Set Builder Notation
d)
Equivalent Inequalities
7.

If P = {0, 1, 2, 3, 4}, Q = {4, 6, 8} and R = {6, 12, 18} Then what is (P ∩ Q) ∪ (Q ∩ R)?

NB: Include calculations aside to show how you arrived at the answer. No mark if this is not done.

a)
{4}
b)
{4, 6}
c)
{4, 6, 8}
d)
{1, 2, 3, 4, 6, 8}
8.

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

NB: Include calculations aside to show how you arrived at the answer. No mark if this is not done.

a)
{3, 5, 7}
b)
{2, 3, 5, 7}
c)
{2, 3, 5, 7, 9}
d)
{1, 2, 3, 5, 7, 9}
9.

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)?

NB: Include calculations aside to show how you arrived at the answer. No mark if this is not done.

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)
{ }
10.

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)?

NB: Include calculations aside to show how you arrived at the answer. No mark if this is not done.

a)

{6}

b)

{3, 6}

c)

{4, 6}

d)

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

11.

If

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

B = {2, 3, 5, 7}

C = {2, 4, 6, 8}

then what is (A U B) ∩ C ?

NB: Include calculations aside to show how you arrived at the answer. No mark if this is not done.

a)

{1,3,5}

b)

{1,2,3}

c)

{2,3,5}

d)

{2}

12.

If

U (the universal set) = {1, 3, 5, 7, 9, 11, 13, 15, 17} and W = {5, 7, 9, 11}, then W' = . . ..

NB: Include calculations aside to show how you arrived at the answer. No mark if this is not done.

a)

{1, 3, 13, 15, 17}

b)

{1, 3}

c)

{2, 4, 6, 8, 10, 12, 14, 16}

d)

{1, 3, 5, 7, 9, 11, 13, 15, 17}

13.
What statement does the shaded region represent
a)
A or B
b)
Not A
c)
A and B
d)
Not B
14.
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
15.

From the above Venn diagram, what is the set S' ? Look at ALL of the Universal set called "U."

NB: Include calculations aside to show how you arrived at the answer. No mark if this is not done.

a)
{casey, drew}
b)
{blair, francis, glen, jade}
c)
{blair, erin, francis, ira}
d)
{jade, glen, blair, erin, francis, ira}
16.
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}
17.
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}
18.
What does this symbol ( ⊆ ) represent in set theory?
a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
19.

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

NB: Include calculations aside to show how you arrived at the answer. No mark if this is not done.

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

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

20.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7,8}, what is P(A ∩\cap B' ) ?

NB: Include calculations aside to show how you arrived at the answer. No mark if this is not done.

a)

{ ϕ\phi ,{9},{1},{1,9} }

b)

{ ϕ\phi ,{2},{8},{2,8} }

c)

{2,8}

d)

{1, 9}