Top

Interval Notation Calculator
Top
Any numbers which lies between any two given real numbers is an interval in math and also the set of all real numbers. For example an interval 5 $\leq$ x $\leq$ 9 contains all elements which are lies from 5 to 9. Interval is in set of all positive and negative real numbers. There are different types of interval they are open interval, closed interval, half open interval and half closed interval.
Interval Notation
is defined as representing the given numbers in terms of symbols like brackets ( ), square brackets [ ], less than or greater than symbol < >, infinity $\infty$, and union sign $\cup$. The interval notation is used to represent the range of values of the given problems. Here ( ) this symbol represents open interval while [ ] symbol represents closed interval.

We can express the inequality outcomes by solving the interval notation

The symbols used in solving the interval notation are:( $\Rightarrow$ is the “not included” symbol or “open” symbol

[ $\Rightarrow$ is the “included” symbol or “closed” symbol

Interval Notation Calculator (set builder notation calculatoris used to find the inequality and graph on a number line for the given interval. It is a interval notation solver that represent the interval as per the interval given. It is sometimes called interval notation calculator online or domain calculator interval notation or interval notation converter. You just have to enter the interval and get it represented on graph instantly.

You can see a default interval given below. The calculator first observes the interval and write the inequality and then number line is drawn when you click on "Calculate".
 

Steps for Interval Notation Calculator

Back to Top
Step 1 :  

Observe the given interval.



Step 2 :  

Write the inequality for the given interval, use "(" or ")" for less than() symbol and use "[" or "]" for less than or equal to($\leq$) or greater than or equal to($\geq$).



Step 3 :  

 


Now draw the graph for the inequality.



  • The arrow should be points in the same direction as the inequality sign is showing.

  • If the inequality is < or >, then use the open circle.

  • If the inequality is $\leq$ or $\geq$, then use the close circle.



Problems on Interval Notation Calculator

Back to Top
  1. Draw a graph on a number line for the interval [0, 4)


    Step 1 :  

    Given interval [0, 4)



    Step 2 :  

    The inequality notation for the given interval is given by


    0 $\leq$ x < 4


    hence the integers solutions are:


    x = 0


    x = 1


    x = 2


    x = 3



    Step 3 :  

    So, the graph will have close circle at "0" and open circle at "4"



    Answer  :  

    Interval Notation Calculator Example



  2. Draw a graph on a number line for the interval (0,5]


    Step 1 :  

    Given interval (0,5]



    Step 2 :  

    The inequality notation for the given interval is given by


    0 < x $\leq$ 5


    hence the integers solutions are:


    x = 1


    x = 2


    x = 3


    x = 4


    x = 5


     



    Step 3 :  

    So, the graph will have open circle at "0" and close circle at "5"



    Answer  :  

    Interval Notation Calculator Examples



*AP and SAT are registered trademarks of the College Board.