Answer:
{ x ∈ Z | x < -20 }
Step-by-step explanation:
Set-builder notation is used in math to describe a set by saying what properties its members have.
It uses curly brackets called "braces".
The first part after the first curly bracket tells you what set of numbers x belongs to.
The ∈ symbol means "is an element of".
For example:
- x ∈ N means "x is an element of the set of Natural numbers".
- x ∈ Z means "x is an element of the set of Integers".
- x ∈ R means "x is an element of the set of Real numbers".
This is followed by "|" or ":" which means "such that".
This is then followed by the conditions of x, for example:
- x < 2 means "x is less than 2".
- -1 < x < 1 means "x is greater than -1 and less than 1".
Therefore, to write the set of all integers less than -20 in set-builder notation:
This means: "The set of all x's that are a member of the Integers, such that x is less than -20"
Learn more about set notation here:
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