Question

what is set builder form
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Answer 1

Answer:

In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.

Answer 2

Step-by-step explanation:

Set-builder form: In the set builder form, all the elements of the set, must possess a single property to become the member of that set.

For Example:

Z={x:x  is  an  integer}

You can read Z={x:x  is  an  integer} as "The set Z equals all the values of x such that x is an integer."

M={x | x>3}

(This last notation means "all real numbers x such that x is greater than 3 ." So, for example, 3.1 is in the set M , but 2 is not. The vertical bar | means "such that".)

You can also have a set which has no elements at all. This special set is called the empty set, and we write it with the special symbol ∅ .

If x is a element of a set A , we write x∈A , and if x is not an element of A we write x∉A .

So, using the sets defined above,

−862∈Z , since −862 is an integer, and

2.9∉M , since 2.9 is not greater than 3 .

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