Question

Write the set of all integers less than -20 in set-builder notation.
The set-builder notation is {x|x EZ and

Answers

  1. 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:
    • { x ∈ Z | x < -20 }
    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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