[ Weighing [ Examples and counterexamples. Constructions]

What weights can three weights have so that with their help, it is possible to weigh any whole number of kilograms from 1 to 10 on balance scales (weights can be placed on both pans)? Provide an example.
Let's take, for example, weights of 3, 4, and 9 kg: $1=4-3, 2=9-3-4, 5=9-4, 6=9-3, 7=3+4, 8=3+9-4, 10$ $=4+9-3$.

Answer

For example, weights of 3, 4, and 9 kg.