Filtering users based on return of past query

Question

Greetings!
We have a Users table with over 3 million user records in it (like a data warehouse). The requirement is to execute 2 queries on the Users table, where the return of the second query should not have any users that were returned in the first query.
For e.g. Consider a sweepstake user-list, where you want to send flyers to people, notifying them about prizes, but do not want to send two flyers to the same person, even if he fulfills the selection criteria for both the sweepstakes.
So -
Query.1. has conditions, which state: All Users from New York, with age=25 (independently run, returns 500,000 users)
Query.2. has conditions, which state: All Users of age=25 (independently run, returns 700,000 users)
Expected Output:
Query 1 should return 500,000
Query 2 should return 700,000 MINUS those users that were already returned in Query 1. i.e. Only return all users of age 25, but who are not from New York
Any inputs will be much appreciated!
Thanks,

Answer 1

Given that you know that the first query uses state = NY and age = 25, why can't you do the second query as:
SELECT * FROM table
WHERE age = 25 and
      state <> 'NY'John