Assuming this date means July 11th:
select * from my_tbl where mycol >= to_date('07/11/2012', 'MM/DD/YYYY');
If this date should be November 7th:
select * from my_tbl where mycol >= to_date('07/11/2012', 'DD/MM/YYYY');
Depending on how you fill in the values ββfor mycol, you can also get rid of the temporary part:
select * from my_tbl where trunc(mycol) >= to_date('07/11/2012', 'DD/MM/YYYY');
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