## Problem Of The Week 21

**if ||x-2|-1|<6 and ||y-1|-2|<9 where x and y are integers, then find the range of x-2y?**

*Tipster: When the equations look too complex, option hunting is a good method*

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From -26 to 26. -4<=x<=8 and -9<=y<=11

Celebrating LifeSeptember 23, 2008 at 1:14 pm

yeah right !

outtimedSeptember 23, 2008 at 4:41 pm

implex bhai…

I’m solving but getting answer as x from -5 to 9 and y from -10 to 12

On checking with boundary values i know its incorrect.

But m not getting the approach to open the second mod.

Please explain.

milindSeptember 26, 2008 at 5:42 am

i think you have got correct value ..

its simple buddy

outtimedSeptember 26, 2008 at 6:18 am

hey i got the range as -5<x<9 and -10<y<12

so my range comes as -29 to 29. i think this is correct because the question states the expressions have values < 6 and < 9 and not <=6 or <=9. please inform me if i’m wrong. i’m new to ths blog. please help me if i’m wrong

anudeep kansalSeptember 30, 2008 at 6:15 am