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Chilukuri Sai Kartik Grade: 12
        

Solve ||x-2|-1|>3

8 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear chilukuri


||x-2|-1|>3


or


          3 ≤|x-2|-1        and                |x-2|-1 ≤-3


or      4 ≤|x-2|        and                     |x-2| ≤-2


1.)       4 ≤|x-2| 


        or           4 ≤(x-2)           and    x-2-4


                x>=6             and x<=-2


 


2) |x-2| ≤-2


         or         |x-2| ≤-2


           mod can't be negative so no solution


 so final solution


x>=6             and x<=-2





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Badiuddin



8 years ago
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