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Worksheets

Sets

Total questions: 20

Worksheet time: 7mins

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.
A = {1, 3, 5, 7, 9}
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}
3.
Find n(A) when
A = {14, 16, 18, 20, 22,
24}
a)
6
b)
12
c)
4
d)
8
4.

Which of the following statements are true for the Venn diagram shown?

a)

A is a subset of B

b)

B is a subset of A

c)

A = B

d)

A and B are disjoint sets

e)

B is a superset of A

5.

A = {x : x is a letter in the word SEAT}

B = {x : x is a letter in the word TASTE}


Determine if these two sets are equal or equivalent.

a)

Not equal because seat has 4 letters and taste has 5 letters.

b)

Equivalent because they have the same letters

c)

Equal because each set has the same cardinality and the same letters.

6.

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}

7.

{ x | x is a Marymount Student}

a)

Roster Form

b)

Universal Form

c)

Set Builder Notation

d)

Equivalent Inequality

8.

Equivalent sets have

a)

the same number of elements

b)

the exact same elements

c)

the opposite elements

d)

nothing

9.

What is the cardinal of the set, H = {w, o, n, d, e, r, f, u, l}

a)

10

b)

9

c)

8

d)

7

10.

Which of the following is a set?

a)

A = {the set of beautiful ladies wearing pink}

b)

B = {the set of yellow flowers in a vase}

c)

C = {the set of boys with long hair}

d)

D = {the set of girls seated in odd numbered chairs}

11.

(...) refers to ellipsis

a)

True

b)

False

12.

Which of the following is true?

a)

The cardinality of an empty set is 1.

b)

If two sets have exactly the same elements, then they are equal.

c)

If two sets are equal, then they are equivalent.

d)

If two sets are equivalent, then they are equal.

13.

Collection of delicious dishes.

a)

A set

b)

Not a set

14.

U = { a, c, d, e, i } M = { a, e, i } N = { i, c, e } find M – N

a)

{ a }

b)

{ c }

c)

{ i, e }

d)

{ c, e }

15.

What is the cardinality of a null set?

a)

0

b)

1

c)

infinite

d)

undefined

16.

Which of the following operations on sets describe the given Venn diagram?

a)

AA'

b)

BB'

c)

A BA\ -\ B

d)

A BA\ \cap\ B

17.

Which of the following operations on sets describe the given Venn diagram?

a)


A BA\ -\ B

b)

B AB\ -\ A

c)

A BA'\ -\ B'

d)

B AB'\ -\ A'

18.

If A and B are any two sets, then A ∩ (A ∪ B) is equal to

a)

 ABA\cup B  

b)

 ABA\cap B  

c)

A

d)

B

19.

A - B is equal to

a)

ABcA\cap B^c

b)

(AB)U(BA)\left(A-B\right)U\left(B-A\right)

c)

Ac BA^{c\ }\cap B

d)

None of the above

20.

 If A={2, 4, 7} and B={4, 8, 9} then (AB)(BA)isIf\ A=\left\{2,\ 4,\ 7\right\}\ and\ B=\left\{4,\ 8,\ 9\right\}\ then\ \left(A-B\right)\cup\left(B-A\right)is  

a)

A

b)

B

c)

 ϕ\phi  

d)

{2, 4}