I do not understand set-builder notation.....

Using correct mathematical notation and symbols, express the following in set-builder notation: Z = {16, 17, 18, 19, 20}

Instead of enumerating the members, the set-builder notation defines the members of a set using mathematical conditions.

The set of all odd integers would be:
A={x∈ℤ : mod(x,2)≡1}
or the integers between 40 and 45:
B={x∈ℤ : 40≤x≤45}

For more examples, see:
http://en.wikipedia.org/wiki/Set-builder_notation

x¡Êℤ : 9<x¡Ü20

Set-builder notation is a way to define a set by describing the properties that its elements must satisfy. In order to represent the set Z = {16, 17, 18, 19, 20} using set-builder notation, we first identify the property that all the elements in the set share.

In this case, the common property of the elements in set Z is that they are all integers. Therefore, we can express the set Z using set-builder notation as:

Z = {x | x is an integer, 16 ≤ x ≤ 20}

Let's break down the notation:

- The opening curly bracket '{' indicates the beginning of the set.
- The variable 'x' represents the elements that belong to the set.
- The vertical bar '|' is read as "such that" and separates the variable from the property that it must satisfy.
- The property is expressed after the vertical bar. In this case, the property is "x is an integer" which means that x must be a whole number.
- The comma ',' is used to separate multiple properties if there are any, but in this case, we only have one.
- The inequality symbol '≤' denotes "less than or equal to," and it is used to express the range of values that x can take. In this case, we have 16 ≤ x ≤ 20, which means that x must be greater than or equal to 16 and less than or equal to 20.
- The closing curly bracket '}' indicates the end of the set.

So, in set-builder notation, Z = {x | x is an integer, 16 ≤ x ≤ 20} represents the set Z with elements 16, 17, 18, 19, and 20, where all the elements are integers between 16 and 20 (inclusive).