The Binomial Inequality

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 .