Yes, the syntax is accurate and it should be fine.
Here is the SQL Fiddle Demo I created for your particular case
create table sample2
(
id int primary key,
created_date date,
data varchar(10)
)
insert into sample2 values (1,'2012-01-01','testing');
And here is how to select the data
SELECT Created_Date
FROM sample2
WHERE Created_Date >= DATEADD(day,-11117, GETDATE())