WorksheetsSet Theory 2.1
Total questions: 26
Worksheet time: 37mins
What does this symbol ( ∈ ) represent in set theory?
Subset
Empty Set
Every set
Element of
What does this symbol ( ∈/ ) represent in set theory?
Element of
Empty Set
Not an element of
Not a subset of
What does this symbol ( n(A) ) represent in set theory?
n of A
number of elements in set A
elements not in A
Complement of A
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.
Not equal because seat has 4 letters and taste has 5 letters.
Equivalent because they have the same letters
Equal because each set has the same cardinality and the same letters.
What is the cardinal of the set, H = {w, o, n, d, e, r, f, u, l}
10
9
8
7
A set whose elements are countable.
finite
infinite
equal
equivalent
Determine whether the set is finite or infinite:
A={10, 20, 30, ...}
Finite
Infinite
Determine if these two sets are equal or equivalent.
A = {2, 6, 10, 14}
B = {6, 2, 14, 16}
Equal
Equivalent
Equal sets have
the exact same elements
the same number of elements
the opposite
nothing
Equivalent sets have
the opposite elements
nothing
the exact same elements
the same number of elements
Which of the following sets is empty?
{ x | x is a natural number divisible by 2 }
{ x | x is a human being traveled to the sun }
{ x | x is an even number between 3 and 5 }
{ x | x is a natural number greater than 20 } is :
Finite Set
Infinite Set
Which set makes { 2, 4, 6, 8 } a one-to-one correspondence :
{ 2468 }
{ a24, b68 }
{ a, b, c, d }
{ a, b, c, d, e }
If A = {even numbers less than 13}, then
A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}
A = {1,3, 5, 7, 9, 11}
A = {2, 4, 6, 8, 10, 12}
A = {2, 4, 6, 8, 11,}
Which of the following best describes set P, where P = { car, train, aeroplane, boat}
{types of public transportation}
{name of places most visited}
{four things in the country}
None of the above
Which of the following shows F = {odd numbers from 3 to 15}?
F = {2, 4, 6, 8, 10, 12, 14}
F = {3, 5, 7, 9, 11, 13, 15 }
F = {1, 3, 5, 7, 9, 11, 13, 15}
F = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
Find the cardinality of B = {-3, -1, 1, 3, 5, 7}
a. 2
b. 4
c. 6
d. 8
R = {natural numbers less than 5}, what is n(R)?
4
5
6
7
X = {Monday, Tuesday, Wednesday, Thursday, Friday}, what is n(X)?
2
7
5
9
What is the cardinality of set M= { f, o, r, g, i, v, e }?
n(M) = 5
n(M) = 6
n(M) = 7
n(M) = 8
Which of the following set is an example of empty set?
a. H= {quadrilaterals}
b. C= {1, 2, 3, 4, 5, 6, 7, 8, …}
c. D= {days of a week starts with A}
d. D= {days of a week ends with y}
