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February 6th, 2013, 08:08 AM  #1 
Newbie Joined: Feb 2013 Posts: 6 Thanks: 0  solve the inequality: x2x>2
solve the inequality: x2x>2

February 6th, 2013, 08:21 AM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,929 Thanks: 1124 Math Focus: Elementary mathematics and beyond  Re: solve the inequality: x2x>2
No solution. x  2x > 2 x  2 > 2x. 
February 6th, 2013, 11:22 AM  #3 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: solve the inequality: x2x>2
If x> 0 then inequality is x 2x= x> 2 so that x< 2. That's impossible with x> 0 If x< 0 then inequality is x(2x)= 3x> 2 so that x> 2/3. Again, that is impossible with x< 0. And, of course, 0 2(0)= 0 is not larger than 2. There is no x satisfying this inequality. 

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inequality, solve, x2x>2 
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