Use set notation and write the elements belonging to the set
{x | x is a natural number less than 6}.
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1
Identify the definition of a natural number. Natural numbers are positive integers starting from 1.
List the natural numbers less than 6. These are the numbers 1, 2, 3, 4, and 5.
Write the set using set notation. The set will include all the natural numbers identified in the previous step.
Express the set in set notation as .
Ensure that the set is enclosed in curly braces and that each element is separated by a comma.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
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 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 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.