# So Many Numbers in One Number Line – Interval of Numbers

If we are talking about the most important thing in mathematics, it is numbers. Without Numbers, there will be no maths, no solutions, no formulas. We know, Numbers such as real or natural numbers, complex numbers, fraction numbers, mixed fraction numbers are all included in the numbering category. Learning about these numbers is very interesting and fun. All the numbers are present on a line which is known as the number line. Numbers are situated on the number line and identified by students. If a student has to find the numbers on the number line, the student is using the concept of interval notation. Interval notation is the concept of finding the number on the number line without aching out every number on the number line. Let a number be y, Y- is greater than 5. On the number line, it will be written as Y= (5, infinity). This means the Y number is present between the number 5 and the nth number. In simple words, we can say that intervals are the set of real numbers lying between in the number line and the notifying it is interval notation. This includes forming a subset of the numbers between in the number line.

## Many different types of intervals can be present while solving the problem

1. Open intervals are those which are not fully closed at the ends. It is written as (a,b). It says that every number which is within the a and b are included, but a and b will not be included. It is an open-end series. For example: If the set is (5,10), the numbers in the set will be 6,7,8,9, and 5 and 10 will be not included as it is an open interval series. Second example if a is 7 and b is 13, then the numbers in the set will be 8,9,10,11,12. Hence, 7 and 13 will not be included.
2. 2.Closed intervals are those which have closing ends. It is depicted by the broad brackets as [a,b]. In the interval, the endpoint a and b  will be included with the numbers between them. Let’s say if a is 5 and b is 10. So the numbers in the set will be  5,6,7,8,9,10. This included the open end numbers too. Another example is – Let;’s take a as 7 and b as 13. The numbers within will be 7,8,9,10,11,12,13. Hence, it includes 7 and 13 too.
3. Another type of interval is half-open intervals, the name only can say that it is a mixture of open and closed intervals. In this interval, set as one open end and one closed end. It can be as (5,10] and [5,10). Numbers included in the set will be 6,7,8,9,10 and 5,6,7,8,9 respectively. In other words, we can say that in taking a number, b will not be included and in taking b numbers, a will not be included. Talking about the other example, in this case, (a,b], if a is 2 and b is 9, the numbers in the set  -3,4,5,6,7,8,9 and  If the situation is like [a,b), the numbers -2,3,4,5,6,7,8.

Many other sites give detailed information about the interval notation method by which students can learn and practice it in a proper form.  In this way, children can get knowledge about the whole concept and can also gain extra knowledge learning about the different concepts. This will not only help the children to learn new concept but also to apply it in the real life. People should visit website known as Cuemath. It includes all the detailed information about the interval notation method. This website not only helps students to be regular in their studies but also helps in clearing all doubts of students so that there can be no hindrance in their study. Interval notation is an easy concept so, students should start showing their interest in it.

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