Question Write the set of all integers less than -20 in set-builder notation. The set-builder notation is {x|x EZ and
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: https://brainly.com/question/27913822 Log in to Reply