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}

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-4 (3y + 13) < -16y - 28

Use set builder notation to represent the following set.

{... -3, -2, -1, 0}

Set-builder notation is a way to define a set by describing the properties or characteristics that its elements possess. In this notation, we typically use braces { } to enclose the elements of the set, followed by a vertical bar | to separate the descriptions of the elements, and then the conditions or rules that the elements must satisfy.

To express the set Z = {16, 17, 18, 19, 20} in set-builder notation, we need to describe the characteristics that these numbers possess. In this case, we can observe that all the elements of set Z are consecutive integers between 16 and 20, inclusive.

Therefore, the set Z can be expressed in set-builder notation as:

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

In this notation, "x" represents the variable that takes on the values of the set elements, and the condition "x is an integer, 16 ≤ x ≤ 20" specifies that the values of "x" must be integers between 16 and 20 (including 16 and 20).