Use set notation and write the elements belonging to the set {x | x is a natural number less than 6}.

Key Concepts

Set Notation

Set notation is a mathematical way to describe a collection of objects, known as elements. It typically uses curly braces to enclose the elements or a rule to define the set. For example, the notation {x | condition} indicates a set of all x that satisfy the given condition.

Natural Numbers

Natural numbers are the set of positive integers starting from 1 and continuing indefinitely (1, 2, 3, ...). In some definitions, 0 is also included, but traditionally, natural numbers refer to the counting numbers. Understanding this concept is crucial for identifying the elements of the set in the given question.

Inequalities

Inequalities are mathematical expressions that show the relationship between two values when they are not equal. In this context, the phrase 'less than 6' indicates that we are interested in all natural numbers that are smaller than 6. This helps in determining the specific elements that belong to the set defined in the question.