Put each of the following hypothetical syllogisms into standard form, identify any im- plicit premise or conclusion, identify what type of hypothetical syllogism it is, and determine whether the syllogism is valid.

1. If he had even mentioned her name, I would have hit him. But he didn’t, so I didn’t.
2. If I take the new job, I’ll have a longer commute, and if I have a longer commute, I will need a new car. So I’ll need a new car if I take the new job.
3. If you leave the milk out of the refrigerator, it will sour. The milk soured, so you must have left it out.