Need help with Set Builder Notation? Learn the basics and get tips here!

In summary, set builder notation is a way to write a set using mathematical notation. It consists of a variable, a condition or rule, and the set of values that satisfy the condition. This notation is useful for specifying sets in a concise and precise manner. More information and examples can be found on the Wikipedia page for set builder notation. If further assistance is needed, it is recommended to ask a specific question for a quicker and more helpful response.
  • #1
LindseyM2011
4
0
Set Builder Notation?

Does anyone know the basics of set builder notation. Any tips and tricks?
 
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  • #2
could you be more specific, because I can write a set in R by

{x in R |x>0}

which meen all numbers in R that are larger than 0, that is all positive numbers on the real line, but that doesn't help much does it?
 
  • #3
All the details you need should be here;
http://en.wikipedia.org/wiki/Set-builder_notation

If you still have any problems, come back and ask specifically what is not working out for you =] When the question to answer is more specific, it takes less time to answer and hence more people will be inclined to help you on it =]
 

What is Set Builder Notation?

Set builder notation is a mathematical notation used to describe the elements of a set. It is typically written as {x | x is in a set and satisfies a given condition}, where x is known as the variable and the vertical bar denotes "such that".

How is Set Builder Notation different from roster notation?

Roster notation lists out all the elements of a set, while set builder notation describes the elements using a condition. For example, the set of even numbers can be written as {2, 4, 6, ...} in roster notation, but as {x | x is an even number} in set builder notation.

What are some common conditions used in Set Builder Notation?

Some common conditions used in set builder notation include inequalities (e.g. {x | x > 5}), divisibility (e.g. {x | x is divisible by 3}), and membership in another set (e.g. {x | x is in the set of natural numbers}).

Can Set Builder Notation be used for infinite sets?

Yes, set builder notation can be used for infinite sets. For example, the set of all real numbers between 0 and 1 can be written as {x | 0 < x < 1} using set builder notation.

How is Set Builder Notation useful in mathematics?

Set builder notation allows for a concise and precise way to describe a set. It is especially useful in defining sets with infinite elements, and in set operations such as unions, intersections, and complements. It is also commonly used in set theory and other branches of mathematics.

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