WorksheetsSets 1
Total questions: 20
Worksheet time: 18mins
Determine which of the following sets is finite or infinite. Write the cardinality of each of the finite sets.
𝐴=𝑠𝑒𝑡 𝑜𝑓 𝑚𝑜𝑛𝑡ℎ𝑠 𝑜𝑓 𝑡ℎ𝑒 𝑦𝑒𝑎𝑟
(a)
Determine which of the following sets is finite or infinite. Write the cardinality of each of the finite sets.
𝐵 = {2,4,6,8,…}
(a)
𝐶 = {𝑥|𝑥 𝑖𝑠 𝑎 𝑤ℎ𝑜𝑙𝑒 𝑛𝑢𝑚𝑏𝑒𝑟 𝑎𝑛𝑑𝑥 ≥1000}
Is this set finite or infinite
(a)
𝑆 ={𝑠|𝑠 ∈ℝ, 𝑠2−𝑠−2=0}, Is this
Undecided
List the elements of the set
𝑇 = 𝑠𝑒𝑡 𝑜𝑓 𝑙𝑒𝑡𝑡𝑒𝑟𝑠 𝑜𝑓 𝑡ℎ𝑒 𝑤𝑜𝑟𝑑 "𝑓𝑜𝑙𝑙𝑜𝑤“
(a)
List the elements of the following interval in set notation,
N = [-5,4)
(a)
The following set builder notation in plain English is:
𝑀 = {𝑚|𝑚∈ℕ,3 ≤ 𝑥 < 7}
M is the set of m such that m is an even integer and 𝑥>3.
M is the set of m such that m is greater or equal to 3 and less than 7.
M is the set of m such that m is an integer.
M is the set of m such that m is between 3 and 7.
Let 𝐴 = 𝑥|2𝑥 = 6 and let 𝑏 = 3. Does 𝑏 =𝐴?
no
can't tell
d ∈ 𝐴
d is a member of E
d is not a member of E
d is a subset of E
d is not a subset of E
Represent the following sets using the interval notation.
a) 𝐼1 = {𝑥|𝑥∈ℝ,1≤𝑥≤6}
b) 𝐼2 = {𝑥|𝑥∈ℝ,−7<𝑥≤4}
c) 𝐼3 = {𝑥|𝑥∈ℝ,0≤𝑥<𝜋}
d) 𝐼4 = {𝑥|𝑥∈ℝ,𝑥≤7}
Represent the set, {𝑥|𝑥∈ℝ,𝑥 <−5/2} in interval notation
(−∞,−2/5)
[−∞,−2/5)
(−∞,−2/5]
[−∞,−2/5]
Represent the set, {𝑥|𝑥∈ℝ,𝑥 ≥2} in interval notation.
(2,+∞]
(2,+∞)
[2,+∞)
[2,+∞]
𝑎 ∉𝐴
a is not a subset of A
a is not a member of A
a is a subset of A
a is a member of A
F is not a subset of G
F⊈ G
F ⊆ G
F ∈ G
F ∉ G
The following set in set builder notation is:
A = (2, ∞)
A={x ∣ x ∈R, x< ∞}
A={x ∣ x ∈R, x≥2}
A={x ∣ x ∈R, x<2}
A={x ∣ x ∈R, x>2}
The following set in set builder notation is:
B = [-5,5]
B = {x∣x∈R,−5≤x≤5}
B = {x∣x∈R,−5≤x}
B = {x∣x∈R,−5≤x<5}
B = {x∣x∈R,−5<x≤5}
The following set in set builder notation is:
𝐷 = [−10,−1.5)
D = {x∣x∈R,−10 ≤ x≤ -1.5}
D = {x∣x∈R,−10 ≤ x< -1.5}
D = {x∣x∈R,−10 < x≤ -1.5}
D = {x∣x∈R,−10 < x< -1.5}
Represent this in set builder notation
𝐸 = (−∞,1]
E = {x∣ x∈R, x<1}
E = {x∣ x∈R, x≤1}
E = {x∣ x∈N, x≤1}
E = {x∣ x∈N, x<1}
How many elements will be there in the power set of set 𝑋 = {𝑝,𝑞,𝑟,𝑠,𝑡}?
5
32
7
30
Write the power set of M = {a, b, c}
(a)
