Hey all, I would really appreciate some help with this problem. I'm not sure what they're asking:

In each of the following cases explain what is meant by the statement and decide whether it is true or false.

(i) For each x in the Integers there exists y in the Integers such that x+y=1

(ii) There exists y in the Integers such that for each x in the Integers, x+y=1

(iii) For each x in the Integers there exists y in the Integers such that xy=x

(iv) There exists y in the Integers such that for each x in the Integers, xy=x

Thanks in advance for the help!