Statements with multiple quantifiers

Hansel13

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Oct 8, 2007
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Let S be the set of students at your school, let M be the set of movies that have ever been released, and let V(s,m) be "student s has seen movie m." Rewrite each of the following statements without using the symbol ?, ?, or variables.

1. ?s ? S, V(s, Star Wars)
My Answer: Every student has seen Star Wars. (Almost positive this is right)

2. ?s ? S, ?t ? S, and ?m ? M such that s ? t and V(s, m) ^ V(t, m)
My Answer: There are two different students that have seen the same movie (Pretty sure this is correct)

3. ?s ? S and ?t ? S such that s ? t and ?m ? M, V(s, m) --> V(t, m)
My Answer: There is a student that has seen the all the movies as another student (I feel way off on this)

If someone could let me know if I did these right, I'd appreciate it. 2 and 3 I'm a little confused on.

THANKS
 
You are correct on all three.
On #3, you might work on the wording.
But then I do not have any suggestions.
 
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