Hello people,

Finals is coming up, and my teacher gave us a worksheet of problems to work on because they will be similar to the ones on the exam. My problem is I just never grasped quantifiers, and he gave us a problem that uses this.

I have to to express each of these statements using quantifiers, then form the negation of the statement so that no negation is to the left of the quantifier:

1. Someone has visited every state in the US except Oregon and Nebraska.

2. No one has visited every state in the US.

3. Every USC student has visited someone in NYC or visited someone in another town

who visited someone in NYC.

I'm thinking I start with V(x,y) being the statement "x has visited y"? number 1 and 3 is very hard to me, but I tried number 2 and this is what I got.

2. $\displaystyle \neg \forall x V(x,every state in the US)$

can anybody help me with this?