My understanding from my testing (and the PostgreSQL dox) is that the quotes need to be done differently from the other answers, and should also include "day" like this:
SELECT Table.date
FROM Table
WHERE date > current_date - interval '10 day';
Demonstrated here (you should be able to run this on any Postgres db):
SELECT DISTINCT current_date,
current_date - interval '10' day,
current_date - interval '10 days'
FROM pg_language;
Result:
2013-03-01 2013-03-01 00:00:00 2013-02-19 00:00:00