## Rangpur Secondary 2011/2

Problem for Secondary Group from Divisional Mathematical Olympiad will be solved here.
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Please don't post problems (by starting a topic) in the "Secondary: Solved" forum. This forum is only for showcasing the problems for the convenience of the users. You can post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
Moon
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### Rangpur Secondary 2011/2

Problem 2:
If \$2<f<3\$ and \$-9<g<-1\$, then what is the range of possible values of \$fg\$?
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Tahmid Hasan
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### Re: Rangpur Secondary 2011/2

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\$
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tarek like math
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### Re: Rangpur Secondary 2011/2

if f=3 and g=-9 then -27<fg<-3

Shifat
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### Re: Rangpur Secondary 2011/2

-27<fg<-2..should be.

Ridwan Abrar
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### Re: Rangpur Secondary 2011/2

Can anyone confirm which one is the correct answer?

*Mahi*
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### Re: Rangpur Secondary 2011/2

The correct answer is \$-27 < fg < -2\$
Just look out for what the highest and least value of \$fg\$ can be.

Use \$L^AT_EX\$, It makes our work a lot easier!