The Binomial Inequality

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

The binomial inequality states that if are real numbers with the same sign and , then . In this Demonstration, you can compare the two sides of the inequality for various values of the numbers involved when .


A common special case of this inequality occurs when the are all the same. If we call this common value , then the inequality reads . By checking the special case box on the left, you can view a plot of the two sides of this inequality and use the bottom slider to vary .


Contributed by: Chris Boucher (March 2011)
Open content licensed under CC BY-NC-SA



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.