Set Builder Notation Examples

A shorthand used to write sets often sets with an infinite number of elements. Show step by step solutions the following video describes.

Set Builder Notation For Natural Numbers

Set builder is an important concept in set notation.

Set builder notation examples. The above is pronounced as the set of all x such that x is an element of the natural numbers and x is less than 10. A 1 4 9 16 25. X 0 is read aloud the set of all x such that x is greater than 0 it is read aloud exactly the same way when the colon.

However the important thing to realize is that each type of number listed above is an infinite set and that set builder notation is often used to describe such sets. If you re going to be technical you can use full set builder notation to express the above mathematical set. The set x.

A 12 22 32 42 52. Set builder notation is very useful for defining domains. A variable a colon or vertical bar separator and a logical predicate.

The vertical bar is usually pronounced as. Set builder notation can be used to describe sets that are defined by a predicate rather than explicitly enumerated. Here 1 2 3 4 5 are all.

In set builder notation the previous set looks like this. Is replaced by the vertical line as in x x 0. Let s look at some examples of set builder notation.

1 x 9 unless otherwise stated you should always assume that a given set consists of real numbers. A discussion of set notation. The domain of 1 x.

In this form set builder notation has three parts. Example 3 write the set a 1 4 9 16 25. Lists descriptions and set builder notation.

More examples showing the set builder notation. In its simplest form the domain is the set of all the values that go into a function. The function must work for all values we give it so it is up to us to make sure we get the domain correct.

In set builder form. Thus there is a variable on the left of the separator and a rule on the right of it. Set 1 and set 4 can be written as x x is a letter of the modern english alphabet and x x is a type of sausage x x is a letter of the modern english alphabet is read the set of all x such that x is a letter in the modern english alphabet.

The definitions of these numbers may be somewhat elaborate. Set notations empty set symbols for ҩs an element ofҭ subset intersection and union. Therefore x 9 can be written as x x 9 is a real number.

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