If "All socialists are pacifists" is true, what may be inferred about the truth or falsehood of the following propositions? That is, which can be known to be true, which can be known to be false, and which are undetermined?

PROBLEMS

1. Some nonpacifists are not nonsocialists.

2. No socialists are nonpacifists.

3. All nonsocialists are nonpacifists.

4. No nonpacifists are socialists.

5. No nonsocialists are nonpacifists.

6. All nonpacifists are nonsocialists.

7. No pacifists are nonsocialists.

8. Some socialists are not pacifists.

9. All pacifists are socialists.

10. Some nonpacifists are socialists.