Sunday, May 26, 2013

Solve |2x|<=|x-3|

We start by finding points from which we will find the boundaries for the intervals 

2x=x-3 or 2x=-x+3
x=-3 or x=1 

Next we test all intervals 

On x<-3 we test x=-4 and see 8<7 (false) 

On -3 On x>1 we test x=2 and see 4<1 (false)

Our solution interval: [-3,1]


:)

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