November 17th, 2016, 10:12 AM  #1 
Newbie Joined: Nov 2016 From: India Posts: 1 Thanks: 0  Absolute value inequality
Solve f(x)=(x+3+x)/(x+2)>1 My solution: x+3>2 my answer (∞,5)U(1,∞) except 2 I do not know what mistake I'm doing,because my answer is wrong, please cope with me as it is my first question. 
November 17th, 2016, 10:45 AM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 6,346 Thanks: 2084 Math Focus: Mainly analysis and algebra 
Well 2 is not part of the union, so there's probably no need to mention it.

November 17th, 2016, 10:46 AM  #3 
Math Team Joined: Dec 2013 From: Colombia Posts: 6,346 Thanks: 2084 Math Focus: Mainly analysis and algebra 
Also, consider what happens if $x+2 \lt 0$. The answer you have assumes $x+2 \gt 0$, which has an impact on the answer you quoted. Last edited by v8archie; November 17th, 2016 at 10:49 AM. 
November 17th, 2016, 10:51 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 16,194 Thanks: 1147  

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absolute, absolute value, calculus, functions, inequality 
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