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Rangpur Secondary 2011/2

Posted: Wed Feb 02, 2011 6:47 pm
by Moon
Problem 2:
If $2<f<3$ and $-9<g<-1$, then what is the range of possible values of $fg$?

Re: Rangpur Secondary 2011/2

Posted: Wed Feb 02, 2011 7:25 pm
by Tahmid Hasan
for the least value let's take $f$ as tends to $2$ and $g$ as tends to $-9$.so the least possible value of $fg$is tends to $-18$.let's do the same with the highest value.
the range is$-18<fg<-3$

Re: Rangpur Secondary 2011/2

Posted: Fri Apr 29, 2011 12:41 am
by tarek like math
if f=3 and g=-9 then -27<fg<-3

Re: Rangpur Secondary 2011/2

Posted: Fri Aug 05, 2011 3:10 am
by Shifat
-27<fg<-2..should be.

Re: Rangpur Secondary 2011/2

Posted: Sat Feb 01, 2014 12:48 am
by Ridwan Abrar
Can anyone confirm which one is the correct answer?

Re: Rangpur Secondary 2011/2

Posted: Sat Feb 01, 2014 8:10 pm
by *Mahi*
The correct answer is $-27 < fg < -2$
Just look out for what the highest and least value of $fg$ can be.