Remember a syllogism may break more than one rule, but the breaking of one rule is sufficient to render the syllogism invalid. So, we know that the syllogism is invalid. For practice, let s apply rules 2 and 3 also. Rule 3 is met because there are no terms distributed in the conclusion. However, it only takes the breaking of one rule to make a syllogism invalid.
All millionaires are rich people.
Some Americans are rich people. Therefore, some Americans are millionaires. First, underline the distributed terms, then apply the rules. Rule 3 is also met. We know from other sources that the conclusion is true, but the premises fail to provide support making the conclusion necessarily true.