
PreCalculus PreCalculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
October 24th, 2016, 10:13 AM  #1 
Senior Member Joined: Sep 2012 Posts: 199 Thanks: 1  Verify rule for absolute value
Hi guys, could someone help on how to tackle these two problems I am not quite how to tackle these. I think the first one is a triangle inequality but not too sure? I really donâ€™t know about the second. Do I use the equation given and start from there or do I derive it some how from an absolute value.I can see if i plug number in it works but that it really. Questions are below: Q1. Verify the rule that for two real numbers x and y then $\displaystyle x+y < xy$ (suppose to be less than equal too) Q2. Given that for two real numbers x and y, $\displaystyle x+y<x+y$, deduced that $\displaystyle xy<xy$ (once again suppose to be less than equal to.) 
October 24th, 2016, 01:42 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,136 Thanks: 468 
They are both wrong. Counterexamples: for Q1, let x=y, while for Q2 let x=y.


Tags 
absolute, rule, verify 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
How to verify  Chikis  Algebra  15  December 29th, 2015 07:47 AM 
Learn How To Derive The Trapezium Rule Formula From Absolute Scratch...  perfect_world  Calculus  0  May 16th, 2014 10:00 AM 
Is this an absolute value rule?  chrie  Elementary Math  1  May 7th, 2014 03:16 AM 
Find the absolute minimum and absolute maximum.  corleoneee  Calculus  5  October 22nd, 2013 12:31 AM 
Absolute Value Inequality with Absolute Values on Both Sides  shiseonji  Algebra  2  September 24th, 2013 08:36 AM 