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September 24th, 2013, 08:13 AM  #1 
Newbie Joined: Jul 2013 Posts: 21 Thanks: 0  Absolute Value Inequality with Absolute Values on Both Sides
How do I solve these kinds of inequalities??? My professor did not teach it and I couldn't find much information on the Internet. And we're going to have a test about them tomorrow!! Example: Some say I should square both sides. Some say I should separate them. Some say I should let the greater/less than sign to be an equal sign first. I'm so confused. Please enlighten me. Thank you! 
September 24th, 2013, 09:27 AM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,975 Thanks: 1156 Math Focus: Elementary mathematics and beyond  Re: Absolute Value Inequality with Absolute Values on Both S
1. 2. 
September 24th, 2013, 09:36 AM  #3  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: Absolute Value Inequality with Absolute Values on Both S Hello, shiseonji! Quote:
I would use the last approach . . . This divides the number line into two intervals: Test a value of in each interval. Therefore:[color=beige] .[/color]  

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