Proving an Inequality

by ausdreamer
Tags: inequality, proving
 P: 23 1. The problem statement, all variables and given/known data If 0 <= A <= B, prove that: A(B-A) <= (B/2)^2 2. Relevant equations - 3. The attempt at a solution I've been blindly rearranging the terms trying to see a way to prove this but due to my complete lack of experience in proofs, I'm hoping someone here can give a little push in a helpful direction.
 P: 61 try opening the brackets and taking all the terms to one side. it'll become square of a number. but i dnt understand how 0>=a>=b are essential conditions for this. square of any real no would always be positive
 P: 61 sry i typed the inequality wrong
P: 501

Proving an Inequality

The cases where $A = 0$ and $A = B$ should be obvious. For the rest, $0 < A < B$, think geometrically.

 Related Discussions Calculus & Beyond Homework 6 Calculus & Beyond Homework 3 Calculus 2 Calculus & Beyond Homework 15 Introductory Physics Homework 6