Question

Write the set of integers less than-6
or greater than 21 in set-builder notation.

Answer 1

Answer:

answer as follows

Step-by-step explanation:

Set Builder Notation

In Mathematics, set builder notation is a mathematical notation of describing a set by listing its elements or demonstrating its properties that its members must satisfy.

In set-builder notation, we write sets in the form of:

{y | (properties of y)} OR {y : (properties of y)}

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Answer 2

The answer is A = {x : x ∈ I, x < -6 or x > 21}.

Given: A set of integers is less than -6 or greater than 21

To Find: depiction of the given integer set in set builder form

Solution:

Let the set of integers be x.

Let the set be A.

Set builder form =

A = {x : x ∈ I, x < -6 or x > 21}

Answer) The set builder form is A = {x : x ∈ I, x < -6 or x > 21}.

Sets

• Sets refer to a group of similar data that have a common feature among them and are related to a single event. Sets can be expressed in various forms- descriptive form, roster method, and set builder form.

• In descriptive form, we generally describe the set in words. It is a simple statement.

• In the roster form, we list out the elements of the set, be it numbers, letters, or names.

• In the set builder form, we take the description form to a more technical level. We assign the entire value of the set to a variable and use it to describe the set.

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