Interval Notation Calculator

Step-by-Step Guide to Using the Interval Notation Calculator

Step 1: Select the Interval Type

Begin by choosing the type of interval you want to work with. You will find a dropdown menu labeled “Interval Type”. Click on it to see the available options:

• Open Interval ( )
• Closed Interval [ ]
• Left Open, Right Closed ( ]
• Left Closed, Right Open [ )

Select the appropriate option based on the specifics of your interval.

Step 2: Enter the Left Endpoint

Next, enter the left endpoint of your interval. This field is labeled “Left Endpoint”. Provide a numeric value and ensure that it meets the requirement of being a decimal or integer number, as indicated by the prompt “Enter left endpoint”.

Step 3: Enter the Right Endpoint

Proceed by entering the right endpoint of your interval in the field labeled “Right Endpoint”. Like the left endpoint, this must also be a numeric value as per the placeholder “Enter right endpoint”.

Step 4: Test a Number

If you wish to test whether a specific number falls within the defined interval, input this number in the field labeled “Test Number”. Again, input a numeric value, respecting the step validation which accepts any numerical form.

Step 5: Interpret the Results

Once all the required fields have been filled, the calculator will provide you with several results:

• Interval Notation: This will display the interval in standard notation based on your inputs (e.g., (5, 10), [2, 6], etc.).
• Interval Length: This calculates the length or size of the interval using the formula “right endpoint minus left endpoint”.
• Interval Midpoint: This gives the midpoint of the interval, calculated as the average of the two endpoints.
• Contains Test Number: This evaluates to “1” if the test number falls within the interval and “0” if it does not.

Examine these results to understand the properties of your interval and gain insights according to your needs.