I'm having trouble trying to understand the negation of certain sentences.
Negate the following statements:
- At least two of my library books are overdue
- One of my two friends misplaced his homework assignment
- No one expected that to happen
- It's surprising that two students received the same exam score
Now the answer is this (according to my professor):
- At most one of my library book is overdue
- Both of my friends did not misplaced their homework
- Someone expected that to happen
- It's not surprising that two students received the same exam score
Now my question is, when do I treat the sentence as two cases? For example number 2. It's treating "friends" and "misplaced" as two cases where number 1 only treated the number of books as the case but it did not treat "overdue" as a case. I apologize if I'm using the term "case" incorrectly.
For example I thought number 1 would be:
At most one of my library book is not overdue
And I thought number two would be:
It's not surprising that two students didn't receive the same exam score
Maybe my logic is a bit fuzzy (pun intended) right now. Could someone help me clear up on when I should treat a sentence as one or two cases?