What type of sql database are using (MSSQL, Oracle etc)? I believe what you have written is correct.
You could also write the first query like this:
SELECT s.sid, s.name
FROM Supplier s
WHERE (SELECT COUNT(DISTINCT pr.jid)
FROM Supplies su, Projects pr
WHERE su.sid = s.sid
AND pr.jid = su.jid) >= 2
It's a little more readable, and less mind-bending than trying to do it with GROUP BY. Performance may differ though.