Introduction to Sets - Elements and Subset of a Set | Grade 7 Math @MathTeacherGon
Summary
TLDRIn this educational video, the host, Mythic, introduces the concept of sets in mathematics, specifically for grade 7. Sets are defined as collections of items, with examples including the English alphabet and the colors of the rainbow. The video explains that each item in a set is called an 'element' and uses capital letters to denote sets. The host further discusses subsets, illustrating with examples how a set can be a subset of another if all its elements are contained within the parent set. The video is interactive, encouraging viewers to ask questions and request topics for future discussions.
Takeaways
- đ A set is defined as a collection or group of distinct objects, which can be numbers, people, letters, etc.
- đ The English alphabet and the colors of the rainbow are given as examples of sets, illustrating the concept with familiar items.
- đ€ Sets are named using capital letters, emphasizing the convention of using uppercase for set notation.
- đ Each object within a set is referred to as an 'element', and the script explains how to denote elements with specific symbols.
- đïž An example of a set is provided, listing the days of the week, and explaining how each day is an element of that set.
- â The script clarifies that not all collections are sets, using December as an example of something not included in the set of days in a week.
- đ The concept of a subset is introduced, explaining that it is a set whose elements are all members of another set.
- đ The subset relationship is symbolized, with one symbol indicating subset and another indicating not a subset, providing a visual understanding of the relationship.
- đą An example is used to demonstrate how to determine if one set is a subset of another, using sets A and B with numerical elements.
- â The script also shows how to determine when a set is not a subset, using set C as an example where its elements are not found in set A.
Q & A
What is the definition of a set according to the video?
-A set is a collection or an arrangement of items, such as the English alphabets or the colors of the rainbow.
How are sets named in mathematics?
-Sets are named using capital letters, for example, Set A, Set B, etc.
What is another term for the items within a set?
-The items within a set are referred to as elements.
What symbol is used to denote an element of a set?
-The symbol for an element of a set is â, which means 'is an element of'.
Can you provide an example of a set from the video?
-An example of a set given in the video is the set of days in a week, which includes Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday.
What is the term for a set where all of its elements are also elements of another set?
-A subset is a set whose elements are all members of another set.
How is the relationship between a subset and its parent set represented?
-The relationship between a subset and its parent set is represented using the subset symbol â.
Is it possible for a set to be a subset of itself?
-Yes, every set is a subset of itself because all elements of a set are also members of the same set.
What is the condition for Set B to be a subset of Set A?
-Set B is a subset of Set A if all elements of Set B are also elements of Set A.
Why is Set C not a subset of Set A according to the video?
-Set C is not a subset of Set A because not all elements of Set C are found within Set A.
How can you determine if a set is a subset of another set?
-You can determine if a set is a subset of another set by checking if every element of the first set is also an element of the second set.
Outlines
đ Introduction to Sets in Mathematics
The paragraph introduces the concept of sets in mathematics, defining them as collections of distinct objects, which can be numbers, letters, or any other items. The narrator uses examples such as the English alphabet and the colors of the rainbow to illustrate what sets are. The English alphabet is described as a set of 26 letters ranging from A to Z, and the rainbow's colors are listed as another example, emphasizing the seven distinct colors. The paragraph also explains that sets are named using capital letters and that each item within a set is referred to as an element. The concept is further clarified with a practical example, where the days of the week are listed as elements of a set named 'A'. The paragraph concludes by stating that the next part of the video will cover more examples and related terminology.
đ Understanding Subsets in Set Theory
This paragraph delves into the concept of subsets within set theory. A subset is defined as a set whose elements are entirely contained within another set. The paragraph uses a visual symbol to represent subsets and provides an example to clarify the concept. Set A is defined with elements 1, 2, 3, 4, and 5, while Set B contains elements 1, 2, and 3. The explanation highlights that Set B is a subset of Set A because all elements of Set B are found within Set A. The paragraph also discusses the incorrect assumptions about Set A being a subset of Set B and Set C being a subset of Set A, using the given examples to demonstrate why these assumptions are incorrect. The summary concludes with an invitation for viewers to ask questions or request topics for future videos and encourages engagement with the channel.
Mindmap
Keywords
đĄSets
đĄElements
đĄSubset
đĄNotation
đĄAlphabet
đĄRainbow
đĄWeekdays
đĄDecember
đĄSymbols
đĄExamples
Highlights
Definition of sets: A set is a collection of items.
Example of a set: The English alphabets from A to Z.
Another example of a set: Colors of the rainbow (Red, Orange, Yellow, Green, Blue, Indigo, Violet).
Sets are named using capital letters.
Each object in a set is called an element.
Symbol for an element in a set.
Example set A: Seven days of the week from Monday to Sunday.
Monday is an element of set A.
December is not an element of set A (example of a false statement).
Definition of a subset: A set whose elements are all members of another set.
Symbol for subset and not a subset.
Example of a subset: Set B (1, 2, 3) is a subset of Set A (1, 2, 3, 4, 5).
Set A is not a subset of Set B because it contains more elements.
Set C (2, 8) is not a subset of Set A because some elements are not in Set A.
Encouragement for viewers to ask questions and request topics in the comments.
Invitation for new viewers to like, subscribe, and hit the notification button.
Transcripts
hi guys hi guys hi guys hi guys hi guys
it's me teacher
in today's video
hi guys it's mythic here going in
today's video we will talk about
scents this is the first topic the
pagusa financing for grade 7 mathematics
so without further ado
let's do this topic so we have here the
definition of sets
sets are simply collection of
are
connection of items so paloma said what
is a set let's say for example uh an
example of certain thing
is the set
of the english alphabets
so for example instead of english
alphabet and by a letter snare so mere
letter a and letter z you never said
from a to z those are uh that is your
set
as a set method are you doing letters of
the alphabet
another thing sabine right now are
colors of the rainbow along the
manhattan american colors of the rainbow
which is
red
orange
yellow
green
blue
indigo and violet young seven colors
set nathan which is um
colors of the rainbow so
it is named using capital letters
capital letters to name a set and
another thing about the sets
each object in a set is called the
element so literally elaborate nothing
after nothing about the element and this
is the symbol
for the element
again this is the symbol for the element
so part was making the module set but in
the attack nothing
element let's have this example
we have here
set a
[Music]
we have seven days
starting from monday up to sunday so
um
that is monday
tuesday
wednesday
thursday
friday
saturday
and
sunday
so honestly
which is days in a week
snapping we can say that
monday
is an element
of a
so
monday is an element of set a family
in a week okay so let's say for example
um we have this one
tuesday
is this one
which is time adding event because
choose b is an element of
septic excellent how about this one
is it true or false no because december
is not included
at all
december
is not an element
of
set a so i hope so far
definition of sets
so in the next part of our video we will
deal with more examples of sets and we
will talk about
another terminology in relation to sense
let's talk about
another terminology that will help you
in
studying
sets so we have here subset so let's
talk about subset of ascent a subset is
a set again subset is a set whose
elements are all members of another set
so you will be dealing with this kind of
symbol
this one is
subset
symbol for subset and this one
this symbol
is not
a subset
so let's have this example we have here
example
um set a in which the elements of a are
one two three four and five
the elements of b or set b
is one 2 3
letter c 2 and 8. so given this example
analysis
a subset is a set whose elements are all
numbers of another set
again all members of another set so as
you can see guys um
[Music]
let's have
set b
set b has the elements or has three
elements which which is one two and
three
again
the elements of set b
are all
in the elements
of set a in which part
and set a u elements the set b
so definition happen a subset is a set
whose elements are all members of
another set so we can say that
this
set b
is a subset
of
set a
b
is a subset of a sir
because all the elements this is a set
and all the elements of this set
one two and three are elements of
another set so this one
justifies definition of a subset sir how
about
a
being a subset of
b
let's think about it
is a a subset of b
no
so as you can see guys
are the elements of a are 1 2 3 4 and 5
in which
these elements are not
inside
the elements of set b so we can say that
set a is not a subset of b because
elements
obviously
set bca because
much later you number of elements
set a so how about sir letter c is
letter c
uh subset of a
no
so letter c or set c
is not
a subset of a so what is the reason why
c or set c is not a subset of a as you
can see guys the elements
yes
there are two elements
in which this one is lesser than the
elements of a but you need to check if
the elements or the 100 of the elements
of side of set c
are inside
set a as you can see a is not existing
in the elements of a that's why satsi is
not a subset of set a so
i hope that one new
explanation about the subsets
is
so if you have any question about our
topic today
feel free to comment down below and if
you want to request a specific topic
that you want me to discuss within this
channel
feel free to comment down below so if
you're new to my channel don't forget to
like and subscribe at hitman button for
you to be updated exactly latest uploads
again let's meet each other
but i mean
bye
you
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