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View Full Version : Inequalities of modulus!


benleong2008
Sep12-09, 12:52 PM
1. The problem statement, all variables and given/known data
|x+2/x+1|less than or equal to |x-3|
how do i solve this??
I couldn't find any way!
My lecturer did give me a hint saying that there are four combinations of + and -ve signs.
2. Relevant equations



3. The attempt at a solution

HallsofIvy
Sep12-09, 02:07 PM
With complicated inequalities it is usually best to solve the corresponding equation first. For what values of x is |(x+2)/(x+1)|= |x- 3|. For what values of x is that left side not defined? Those points separate ">" from "< ".