How do i use "syllogism" correctly in a sentence?

A syllogism is a type of logical argument. It consists of three parts:

1) Major Premise

2) Minor Premise

3) Conclusion

Example (weak argument):

All blondes are empty-headed

S is a blonde

Therefore S is empty-headed

Example (strong argument):

All unmarried men are bachelors

S is an unmarried man

Therefore S is a bachelor.

Use in a sentence:

X's argument was unpersuasive as it was based on the use of faulty (or weak) syllogism