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

.