My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
May 6th, 2014, 07:09 AM   #1
Newbie
 
Joined: May 2013

Posts: 26
Thanks: 0

Inequality

Is it true that
a/x+b/y+c/z geq 3 (a+b+c)/(x+y+z)
masterofmath is offline  
 
May 6th, 2014, 01:48 PM   #2
Global Moderator
 
Joined: May 2007

Posts: 6,640
Thanks: 625

Quote:
Originally Posted by masterofmath View Post
Is it true that
a/x+b/y+c/z geq 3 (a+b+c)/(x+y+z)
As a minimum you need some restrictions on x,y,z (all non-negative).
mathman is offline  
May 7th, 2014, 10:03 AM   #3
Senior Member
 
Olinguito's Avatar
 
Joined: Apr 2014
From: Greater London, England, UK

Posts: 320
Thanks: 155

Math Focus: Abstract algebra
Quote:
Originally Posted by masterofmath View Post
Is it true that
$\dfrac ax + \dfrac by + \dfrac cz \geq \dfrac{3 (a+b+c)}{x+y+z}$
$$\frac12 + \frac23 + \frac12\, =\, \frac{35}{21}\ <\ \frac{36}{21} \, = \, \frac{3(1+2+1)}{2+3+2}$$
Olinguito is offline  
Reply

  My Math Forum > High School Math Forum > Algebra

Tags
inequality



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Inequality masterofmath Algebra 6 August 21st, 2013 01:21 PM
Inequality masterofmath Algebra 2 May 10th, 2013 03:09 PM
An Inequality TerenceCS Algebra 5 January 11th, 2011 06:43 AM
Inequality Pavhard Number Theory 4 October 18th, 2010 08:00 AM
inequality tinynerdi Calculus 4 September 27th, 2010 05:09 PM





Copyright © 2018 My Math Forum. All rights reserved.