The way I see it, g>9 and there's no upper limit.
If k=4, then 2h+k<8 leads to:
2h+4<8
2h<4
h<2
This leads us to g+3(LT2)=15, where LT stands for "Less Than". (This is the technique taught in the MGMAT books)
This means that g+LT6=15. When you subtract LT6 from both sides, you end up with g=GT9 (Greater Than).
This makes intuitive sense, because if you take away less than 6 from 15, you necessarily end up with more than 9.
Similarly, if you multiply less than 2 by 3, you necessarily end up with less than 6.
g + something less than 6 = 15. The minimum value for g is going to be 9 point something.
There is no upper limit because all we know is that h<2.
h could be -198,479,263 for all we know, in which case g would have to be 198,479,278 to make g+h=15.
Or h could be 5.9999, in which case g would have to be 9.0001
So g>9 is all we know.
I'm really not a math buff by any standards and I just started studying for all that stuff, so this could be wrong, but I think it's probably ok. I'm actually curious to see what other ways people come up with.
Good luck with your studying.
Last edited by
jeremy8 on Sat Jul 03, 2010 9:35 pm, edited 1 time in total.
