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 July 1st, 2012, 09:06 PM #1 Member   Joined: Jan 2012 Posts: 72 Thanks: 0 Solve an inequality hence solve another inequality In the first part, I was asked to solve the inequality $\frac{2x-1}{x+4}=<=1$ Hence solve the inequality $\frac{2-e^x}{1+4e^x}=<=1$ I need help with finding what to replace x with. How do i figure out what i should replace x with?
 July 1st, 2012, 10:25 PM #2 Senior Member     Joined: Oct 2010 From: Changchun, China Posts: 492 Thanks: 14 Re: Solve an inequality hence solve another inequality It is $e^{-x}$ of course.
July 2nd, 2012, 02:09 AM   #3
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Re: Solve an inequality hence solve another inequality

Quote:
 Originally Posted by stainburg It is $e^{-x}$ of course.
oh my goodness how did u figure that out?

 July 2nd, 2012, 12:43 PM #4 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: Solve an inequality hence solve another inequality You could state: $\frac{2-e^x}{1+4e^x}\cdot\frac{e^{-x}}{e^{-x}}=\frac{2e^{-x}-1}{e^{-x}+4}$

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