Hey, below is my understanding of the statement:
Premise: Authorized by department head (A)--> The Announcement is important (I). A-->I
Conclusion: Not authorized by department head --> The Announcement is not important. (~A --> ~I)
So it is a mistaken reversion.
I was considering D and E, but I didn't really understand what D is saying, so finally chose E.
Could anyone tell me what D means and Why E is false? Thank you for your help!