# data[].attributes.body
a)
P = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 }
Q = { 2, 3, 5, 7, 11 }
R = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
b)
Q ⊂ P. Q is a proper subset of P as Q contains all the elements that is in P while containing at least one element which is not in P. While P cannot be a proper subset of Q as P contains elements that Q does not have.
c)
R is a proper subset of P. Set P contains all the elements of R while containing at least one element which is not in R.

# data[].attributes.body
a)
P = {1,2,3,4,5,6,7,8,9,10,11,12,13}
Q = {2,3,7,11}
R = {1,2,3,4,5,6,7,8,9,10,11,12}
b)
Q ⊂ P. P contains all elements of Q, but P contains more than one different element from Q.
c)
R ⊂ P. P contains all elements of R, but contains one element different from R.

# data[].attributes.body
a) P( 1,2,3,4,5,6,7,8,9,10,11,12,13)
Q( 2,3,5,7,11)
R( 1,2,3,4,5,6,7,8,9,10,11,12,13)
b) Q is a subset of P. As the elements in Q is in P
c) R and P are equal set

# data[].attributes.body
a) P = { 1,2,3,4,5,6,7,8,9,10,11,12,13}
Q = {1,2,3,5,7,11}
R = {1,2,3,4,5,6,7,8,9,10,11,12,13}
b) Q ⊂ P. All the elements in P are in Q.
c) R is a subset of P and P is a subset of R.

# data[].attributes.body
Yes, all sets have a subset of nothing

# data[].attributes.body
if you have the same thing, I'm sorry

# data[].attributes.body
a)
P=1,2,3,4,5,6,7,8,9,10,11,12,13
Q=2,3,5,7,11
R=1,2,3,4,5,6,7,8,9,10,11,12
b)
Q is a proper subset of P but P is not a proper subset of Q because P contains elements in Q and other elements but P only contains elements in Q and nothing more.
c)
R is a subset and a proper subset of P.

# data[].attributes.body
Proper subset: ⊂
Subset: ⊆

# data[].attributes.body
A = {1,2}
B = {1,2,3}
C = {1,2}

A is a proper subset of B.
A is a subset of C./ C is a subset of A.

# data[].attributes.body
a) P = {1,2,3,4,5,6,7,8,9,10,11,12,13}
Q = {1,2,3,5,7,11}
R = {1,2,3,4,5,6,7,8,9,10,11,12}

b) Q c P. Q is a proper subset of P but P is not a proper subset of Q because it has more elements than Q.

c) R is a subset and proper subset of P.

# data[].attributes.body
Subset: ⊆
Proper subset: ⊂

# data[].attributes.body
All subsets will have at least a null set

# data[].attributes.body
Yes. Every set contains nothing

# data[].attributes.body
every set will have a null set because null set = nothing and everything has nothing :wesmart:

# data[].attributes.body
Yes. Because all sets contains null set (which is nothing).

# data[].attributes.body
B is also a proper subset of A

# data[].attributes.body
Yes it is a subset of every set because every set will have a null element.

# data[].attributes.attachment_link.title
What is a Venn Diagram? | Don't Memorise

# data[].attributes.body
Subset: ⊆
Proper subset: ⊂

# data[].attributes.body
subset : ⊆
Proper subset : ⊂

Others
⊄ : not a subset
⊇ : superset
⊃ : proper subset
⊅: not a superset
∪ : union
∩: Intersect

# data[].attributes.body
Subset: C with a horizontal line below C
Proper subset: C

# data[].attributes.body
a) P = { 1,2,3,4,5,6,7,8,9,10,11,12,13}
Q = {1,2,3,5,7,11}
R = {1,2,3,4,5,6,7,8,9,10,11,12,13}

B) Q ⊂ P. All the elements in Q are the same elements as P, but P has more elements.

C) they are both subsets of each other as they are equal.

# data[].attributes.body
A = {1,2,3}
B = {3,2,1}
A is a subset of B
A = {1,2,3,4}
B = {1,2,3,4,6,7)
A is a proper subset of B

# data[].attributes.body
subset：

# data[].attributes.body
Yes, a null set is just {} which every set contains. Hence, a null set is a subset of every set.

# data[].attributes.body
X = {2,4,6,8}
Y = {2.4.6.8}
Z = {2,4,6,8,10}
X is a subset of Y
Y is a subset of X
X is a subset of Z but Z is not a subset of X
Y is a subset of Z but Z is not a subset of Y
X is a proper subset of Z
Y is a proper subset of Z.

# data[].attributes.body
A = {4, 2, 0}
B = {2, 0, 4}
B is a subset of A

# data[].attributes.body
a) P={1,2,3,4,5,6,7,8,9,10,11,12,13}
Q={1,2,3,5,7,11}
R={1,2,3,4,5,6,7,8,9,10,11,12}

b)Q⊂P This is because Q has the same elements as P but P does not have all the elements of Q

c)R is a proper subset of P

# data[].attributes.body
P = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}
Q = {1,,2, 3, 5, 7, 11}
R = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}

b) Q is a proper subset of P. The former is correct

c) P is a subset of R and R is a subset of P. They are the same

# data[].attributes.body
A subset is two sets that contains the same elements.
A proper subset is two sets in which they are not equal and that one set contains at least one or more different element

# data[].attributes.body
a) P = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}
b) Q = {2, 3, 5, 7, 11}
c) R = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}

a) {1} ⊂ S
b) {2} ⊂ S
c)  Ø ⊂ S

# data[].attributes.body
If A = { 2, 5, 8 }
And  B = { 2, 8 }
B is a proper subset of A.

# data[].attributes.body
yes, a null set is {} which every set has

# data[].attributes.body
Subset is ⊆
and
Proper Subset is ⊂

# data[].attributes.body
super is other way where the latter is subset or proper subset of the former ײַ

# data[].attributes.body
subsets are equal to each other no matter how they are arranged, however, proper subsets are subsets of something that is not equal to that something??

# data[].attributes.body
Subset(With all the same elements): ⊆
Subset(Some same numbers): ⊂
Not a subset: ⊄
Superset: ⊇

# data[].attributes.body
A subset can be equal to each other if both have the same elements in the set. A proper subset is a set that has an additional element than the other set.

# data[].attributes.body
subset : ⊆
Proper subset : ⊂

# data[].attributes.body
X={2,4,6,8}
Y={2,4,6}
Y is a proper subset of A

# data[].attributes.body
If A = {1, 2, 3}
And B = {2, 3}
B is a subset of A

# data[].attributes.body
A subset can be equal to each other even if the sequence of the elements are different.
A proper subset of , then all elements of a set are in but contains at least one element that is not in .

# data[].attributes.body
Subsets are equal to each other.
proper subsets are not equal but have less elements and the same elements

# data[].attributes.body
proper subset - a is in b but a ≠ b'
he

# data[].attributes.body
If A = { 2, 5 , 8 }
then B = { 2 , 8 }
B is a proper subset of A.

# data[].attributes.body
A proper subset has elements which are equal to the set, but the set will have at least one different element. A subset can be exactly same as the set.

# data[].attributes.body
Subset can be equal to, but proper subset must have one less element

# data[].attributes.body
Subsets can be equal to each other but proper subsets can not be equal to each other

# data[].attributes.body
We say a Proper Subset is a set with at least one element of the other set but is not equal to the other set. However, a subset is any set where every element in one is equal to the elements in another.

# data[].attributes.body
A proper subset of a set is a subset of that is not equal to . In other words, if it is a proper subset of , then all elements of a set are in but contains at least one element that is not in .

# data[].attributes.body
Ø is {} and {} is in every set ξι ις νοτ ητα

# data[].attributes.body
A Null Set is a subset of every set. If set A is a subset of the set B then every element of A is also an element of B. If A is the null set then A has no elements and so all of its elements (there are none) belong to B no matter what set B we are dealing with. Thus, the null set is a subset of every set.

# data[].attributes.body
How do we write long list of elements?

# data[].attributes.body
How do we name a set

# data[].attributes.headline
Watch this video to help you understand the differences.

# data[].attributes.subject
Watch this video to help you understand the differences.

# data[].attributes.attachment_link.title
Subsets, Proper Subsets and Supersets | Don't Memorise

# data[].attributes.body
If A = {2,8}
If B = {1,2,8}
A is a proper subset of B.
If C = Proper subset and D = subset