need query for this simple pulling data sql server

need query for this simple pulling data sql server

I am pulling data, but how do I pull from all data listed till an specific
range?
Something like
select *
from xxx
where processdate = '6/30/2013'
this gives me all data only for that specific day..
I want data for all the days till 6/30/2013
I am having problems telling the sql to pull data available till 6/30/2013
This will probably be something really simple, but I cant seem to find the
function to tell it
Or will I need to look at the data and see the earliest date, and then do
a range