Exception 1st person singular

In general the construction with the inversion does not work with the first person singular (je = I). In these cases the question is formed with est-ce que.

J' ai acheté un livre. => Est-ce que j' ai acheté un livre?
  NOT: Ai-je acheté un livre?  
I have bought a book.=> Have I bought a book?  

(To be very precise - in some cases of very often used verbs, the inversion can be used, but it is not common to do so.)

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