Solve Over The Interval Calculator

Interval Notation Calculator

Interval Notation Figurer calculates the length of the interval betwixt whatever two numbers and expresses the inequality based on the selected topology. Farther, the interval is besides represented on a number line.

What is Interval Notation Computer?

Interval Note Calculator is an online tool that helps to display the given interval on a number line, represents the inequality according to the specified topology, and calculates the length of the interval between the two given numbers. To use the interval note calculator , enter the values in the input boxes.

Interval Notation Figurer

How to Utilize Interval Notation Calculator?

Follow the steps given beneath to discover the length of the interval, its number line representation, and the inequality based on the given topology using the online interval notation calculator.

Pace 1: Go to Cuemath's online interval annotation calculator.
Stride 2: Select the topology from the driblet-down list and enter the numbers in the given input boxes.
Step 3: Click on the "Summate" button to summate the length, give the number line representation and the inequality of the interval.
Footstep 4: Click on the "Reset" button to articulate the fields and enter new values.

How Does Interval Notation Calculator Work?

Interval notation is used to represent the set of existent numbers that prevarication betwixt whatever two given real numbers. Inequalities can be represented with the help of intervals In that location are four chief types of intervals. Suppose we have two endpoints x and y, where x < y, then the intervals can exist classified equally follows:

one. Open up Interval

In this, the two endpoints are non included. If we have a number, z, that lies betwixt x and y then the inequality is denoted equally ten < z < y. An open up interval is expressed using round brackets, i.e., (x, y).

ii. Closed Interval

Both the endpoints are included in this interval. The inequality can exist given every bit x ≤ z ≤ y. Square brackets are used to limited closed intervals, i.e., [x, y].

three. One-half Closed Right Interval

In this blazon of interval, only the left endpoint is included while the right endpoint is excluded. x ≤ z < y is the inequality. The left side uses a foursquare subclass while the right side of the interval uses a circular subclass, i.e., [ten, y).

4. Half Closed Left Interval

Only the right endpoint is included while the left is excluded in this interval. 10 < z ≤ y volition be the inequality. The left side uses a round subclass while the right side will have a square bracket, i.east., (10, y].

Length of the interval between the endpoints ten and y can be calculated as follows:

Length = y - 10.

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Solved Examples on Interval Notation Calculator

Example ane:

Plot the interval [2, 4] on the number line, specify the inequality, topology and calculate its length. Verify the results using the online interval notation calculator.

Solution:

Number Line :

Interval Notation Calculator

Inequality = 2 ≤ x ≤ 4

Topology = Closed Interval

Length = 4 - 2 = two

Case 2:

Plot the interval [-3, 1) on the number line, specify the inequality, topology and calculate its length. Verify the results using the online interval notation figurer.

Solution:

Number Line :

Interval Notation Calculator

Inequality = -three ≤ x < 1

Topology = Left airtight right open up

Length = 1 - (-iii) = iv

Similarly, you can use the interval notation estimator to find the number line representation, inequalities, topologies, and the length for the following intervals: