Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation

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Problem A. 435. (October 2007)

A. 435. Prove

$(a+b+c)\left(\frac1a+\frac1b+\frac1c\right) \ge 6\left(\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b}\right)$

whenever 1 $\le$ a,b,c $\le$ 2.

Vietnamese problem

(5 pont)

Deadline expired on November 15, 2007.

Statistics:

12 students sent a solution.

5 points: Huszár Kristóf, Korándi Dániel, Lovász László Miklós, Nagy 235 János, Nagy 314 Dániel, Tomon István, Tossenberger Anna, Tuan Nhat Le, Wolosz János.

0 point: 3 students.

Problems in Mathematics of KöMaL, October 2007

12 students sent a solution.
5 points:	Huszár Kristóf, Korándi Dániel, Lovász László Miklós, Nagy 235 János, Nagy 314 Dániel, Tomon István, Tossenberger Anna, Tuan Nhat Le, Wolosz János.
0 point:	3 students.