WorksheetsIntroduction to sets
Total questions: 18
Worksheet time: 13mins
Let A = { days of the week }
Find n(A).
4
5
7
Let B = { months of the year that do not have the letter r }
List the elements with the use of { } in your response.
(a)
Let C = { factors of 12 }.
List all elements of C with the use of { }.
(a)
Let D = { positive integers less than 30 that are multiples of 4 }
Find n(D).
6
7
8
Let D = { positive integers less than 20 that are multiples of 4}
List all elements of D with the use of { }.
(a)
Describe J = { 1, 3, 5, 7, 9}
prime numbers less than 11
odd integers less than 11
integers less than 10
Let K = { isoclese, equilateral , right-angled, scalene}
Describe K.
K is a set of (a) .
L = { right angle, obtuse, acute, reflex}
L is a set of (a) .
M = { 4, 8, 12, 16, ..., 40 }
M is a set of ___.
even numbers
multiples of 4
multiples of 4 that are less than 41
positive even numbers less than or equal to 40
If A = { 4, 6, 8, 10}
then
4 ∈ A.
True
False
If C = { 1, 3, 4, 7, 11}
then
7 ∉ C
True
False
If C = { 1, 3, 4, 7, 11} and
D = {0, ± 1, ± 2, ± 3, ± 4} then
n(C ) = n(D)
True
False
Let A = {x | x ∈ ℤ, - 2 < x < 5}
and
B = {y | y ∈ ℤ, y > 0}.
Identify the finite set and state its cardinality.
A and n(A) = 6
A and n(A) = 8
B and n(B) > 0
B and n(B) is infinity.
Identify all infinite sets.
{a| a ∈ℕ, a is a multiple of 5}
{c| c ∈ℕ, c+3 < 8}
{b| b ∈ℝ, b is a factor of 28}
{d | d ∈ℕ, d +2 > 3}
If A = { 2, 3, 5, 7,...} then A in set builder notation is A = {a| a ∈ℤ, a is a prime number}.
Let S = { ..., -10, -5, 0, 5, 10, ...}
Write S using set builder notation.
(a)
If A = { 2, 3, 5, 7,...} then A in set builder notation is A = {a| a ∈ℤ, a is a prime number}.
Let T = { 1, 8, 27, 64, 125, ... }
Write T using set builder notation.
(a)
Write in set builder notation a set of even positive numbers.
(a)
Which is the appropriate set builder notation for W which is a set of multiple of 4
{w | w = 4}
{w | w = 4x, x ∈ℕ}
{w | w = 4x, x ∈ℤ}
{w | w = 4x, x ∈ℝ}
