Translate the following sentences from English into logical symbols. These are due as a homework assignment on Friday, Sept. 29. 2 points each..

1. Tom and Jane are not eating out tonight.

2. We will all be happy only if our favorite team wins the World Series.

3. Some where there is a party going on if it is 5:00 somewhere.

4. You are very smart only if you get this one and the next one.

5. It is not the case that I am in class or I am working.

6. Either if I go home, then I will work there, or I will go home only if my wife is sick.

7. Either study and get some rest or go out and stay up all night.

8. Both I am tall if I am 7 feet, and I am short or fat.

9. If I manage to get some rest and get over this cold, then either I will make it to work Friday if and only if my wife is well or I will not make it to work on Friday.

10. If either you want to be rich and famous, or you want people to know your name, then both rob a bank or kidnap someone, and get your name in the paper or on television.