Question

Write the following in set builder notation of the positive integers less than 5

Answer 1

Answer:

{x/x: x belongs to positive integer and x is less than 5}

Step-by-step explanation:

Answer 2

The set builder notation of the positive integers less than 5 is { x : x is a positive integer less than 5.

Given,

The positive integer is less than 5.

To Find,

The set builder notation.

Solution,

Before solving the question, let's understand some concepts.

Sets:-

A set is an ordered group of elements with commas separating them between curly braces {" and "}.

Set Builder Notation:-

Set builder notation refers to the way a set is defined instead of by listing its elements.

As part of set-builder notation, a set can also be formed using the concepts of setting an intention, set comprehension, and set abstraction.

An element belonging to a set and an element belonging to no set are defined by a rule outlined in the set builder notation. A predicate is a form of expressing this rule. A vertical slash "|" or colon (:) is used to separate the set rule from the variables. Infinite sets are commonly described using this method.

Now, let's solve the question,

The positive integers less than 5 are:

A = { 0,1,2,3,4}

The following set A = { 0,1,2,3,4} can be written as

A= { x : x is a positive integer less than 5.

The set builder notation of the positive integers less than 5 is { x : x is a positive integer less than 5.

#SPJ2