## Task 3 - 140513

The students Lutz, Dora, Erich, Nina, Bernd, and Manja participated in the District Olympiad for Young Mathematicians.

Bernd scored more points than Erich, Lutz received more points than Dora but fewer than Erich. Nina received a lower score than Dora. Manja's score was higher than Bernd's.

Determine the order of the points of the mentioned students; write them starting with the highest!
If the scores of Lutz, Dora, Erich, Nina, Bernd, and Manja are denoted by $l, d, e, n, b$, and $m$, according to the problem statement, the inequalities are

$$
b>e ; \quad e>l>d ; \quad d>n ; \quad m>b
$$

From the first and fourth inequalities, we get: $m>b>e$, and from the other two, $e>l>d>n$. Both inequalities can be combined into $m>b>e>l>d>n$. The order is: Manja, Bernd, Erich, Lutz, Dora, Nina.