Is 22/7 Really Greater Than Pi?

[lazypast]

Hi
Can someone show me from step one how to show that 22/7 is greater than pi. I don't really know how much I am asking here, but thanks in advance

 

[berkeman]

Here's a good place to start:

http://en.wikipedia.org/wiki/Pi

 

[LeBrad]

Hi
Can someone show me from step one how to show that 22/7 is greater than pi. I don't really know how much I am asking here, but thanks in advance

Try to construct a non-negative function whose integral on [0,1] is equal to 22/7 - pi. If the function is non-negative, then the integral has to be positive, which means 22/7 > pi.