Question

For the following arguments, a) Translate into standard form (if not already in standard form), b) symbolize to simplify, and then c) determine whether the syllogisms are valid or invalid, explaining why by reference to rules, AND by showing the appropriate Venn diagram:

Arg

All politicians are thieves
No students are thieves
No students are politicians

Arg

Only people who have lost a job can appreciate the difficulties the loss can cause. Some of the people in this room have lost jobs in the past, so there are people in this room who can appreciate the resulting troubles.