I have written the following constraint for a column I\'ve called \'grade\':
CONSTRAINT gradeRule CHECK grade IN (‘easy’, ‘moderate’, ‘difficult’),
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You could drop the existing constraint, and add the new constraint with the NOCHECK option. This would allow you to add the constraint even though data in the table violates the constraint. The problem with doing this though would be that you wouldn't be able to update existing records without making them pass the constraint first.
ALTER TABLE SomeTable DROP CONSTRAINT gradeRule
GO
ALTER TABLE SomeTable ADD CONSTRAINT gradeRule ... WITH NOCHECK
GO
Although this is possible, its not usually recommended because of the potential problems with future updates of the data.