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From watching the video, I learned that set builder notation is when you write a set, but use symbols. You first have to begin with a rule that applies to every number in a set. Then you have to show a way to find all those numbers and explain what set this number belongs in.

Example #1:
A = {3,6,9, 12...}
Set Builder Notation:
A = {3x | x ⋲ N} (Set A = Any number times 3 such that any number is an element of Natural Numbers)

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From watching the video I learned set builder notation. I learned that | means such that and ∈ means element. I also learned that you need to use curly brackets to show which elements are in a set.
Ex:
{ 1, 2, 3, ...}

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A set can be made in two ways one by putting numbers into curly brackets. Or in set builder notation where you use symbols and letters to  show a equation.
Ex:
A= (1,2,3,4...)
A= (xlxeN)
From the video I learned that set builder notation is a set of mathematical numbers that work together in an equation those numbers are the elements of the set.

Definitions:

I equals such that

A equals the set of  all x such that x is an element of N

A equals set of all x

Means x is a natural number

> is more than on left side

< is more than on right side

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From watching the video, I learned how to say and write a set builder notation. For example:
A= {2, 4, 6,... 50}
{2x l x ∈ N, 0 < x >  51}

This means A is the set of all 2x that x is an element of all natural numbers greater than zero and less than 51.

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From watching the video I learned that set builder notation is another way to write a set.
Ex #1
A= {1,2,3,4...}

A= {x | x ⋲ N }

This means A is the set of all x. that x is an element of N or natural numbers. Meaning that x is a natural number.

Ex #2
B= {1,2,3,4...53}

B= {x | x ⋲ N, 1 < x < 53}

This means B is the set of all x. that x is an element of N or natural

numbers. Meaning that x is  natural numbers less than 53.

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From watching the video I learned that set builder notation is a way to write a set.I learned that you can chnage a set, to set builder notation, for example.  If I have a set W ={1,2,3...}, in roaster notaion it would be W={x | x  E N}. I would read this as, W is the set of all x. such that x is an element of all natural numbers.

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In the video I learned about Set builder notation, a mathematical way to write a set. There are two types of set notation, builder and roster. Roster notation is simply writing the elements of a set in curly brackets. Set builder notation uses many symbols to say the elements of a set. For example,
A= {x|x ϵ N}
This is read as:
A equals the set of all x such that x is an element of natural numbers.

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In the video about set-builder notation, I learned that there are two ways to write a set. You can list the elements inside curly braces or you can use set builder notation. Set builder notation is a way to list the requirements that a number must have to be part of the set.
Ex:
A= {1,2,3,4...100}

A{x | x ⋲ N, 1 < x < 100}
This is words means that any number in set A is a natural number more than or equal  to 1 and less than or equal to 100.
So basically it means that any number in set a is a number between 1 and 100.

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From watching the video I learned about set builder notation. I learned what symbols used in sets mean for example, | means such that, and ∈ means is an element of.  To write a set in set builder notation you have to start by putting your set in curly braces, then you put in a variable which symbolizes all numbers in that set, then the such that symbol (|), and an equation that explains what elements are in your set. Here is an example:
{ x | 0 < x < 11 }
That would be the set of {1, 2,3, 4, 5,6,7,8,9,10}

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From the video about set builder notation, I learned how to write a set of multiples. For example, if the set Z is all natural multiples of four up to 20, it's notation would be Z={4x|x''is an element of' sign"N, x<5}. The video provided some excellent examples of sets that proved helpful when I was debating topics such as "does the 'element of' sign go before or after the 'such as' bar". I found it quite interesting that you can say "x to the second such that".

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From watching the video, I learned that set builder notation is used usually to show a specific lar set or an infinite set. In order to right a set in set builder notation, you need to start with the brackets, {}, and use a variable (usually x).  There also a bar (∣) which means "such that". An example of a set in set builder notation is as follows.
{1,4,9,16...}
This is not in set builder notation.
{x^2∣x ∈ N}
This shows that x to the second power is all of the elements in the set of natural numbers. Another set is as follows.
{2x∣x ∈ N}
This is also in set builder notation. There are still many other ways that you can write sets of different elements.

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~ the bar(such that) ( | ) is meant for you to define what { x } would be
~ the commas mean the word 'and'
~ when doing set builder notation you must look at the problem and find specific patterns
~ there are four inequality signs
≥ = greater than equal to
≤ = less than or equal to
> = greater than
< = less than

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From Watching the video I learned that the purpose of the method set builder notation, is for longer set's that go on or that are more confusing and complex. In addition, sets that are infinite and have more complicated symbols and terms would most likely use set builder notation to represent their set.

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From watching the video I learned about the symbols used in a set. {} Curly brackets are used to show what's inside of a set which are called elements. This symbol, l means such that. Every different set of numbers can be made into an equation. The set of counting numbers (set A) can be shown as
A={x|x ϵ N} if the set B are counting numbers that stop at 12 it can be written as B={x | x ϵ N, 1< x < 12}

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Instructions:  First, you will take 3 minutes to revisit the video below on Set Builder Notation to gather information.  Next, you will use 5 minutes of your time to submit a journal entry explaining what you learned from watching the video.   Feel free to use additional resources.   Last, use 2 additional minutes to provide your own examples to support your understanding.

To submit a response, simply click on the plus sign in the lower right corner. You can also attach a picture.

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Introduction to Set-Builder Notation 127-1.16

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How to define sets with both the roster (or list) method and using set-builder notation. This video is provided by the Learning Assistance Center of Howard Community College. For more math videos and exercises, go to HCCMathHelp.com.