RE: Dell Active Pen compatible with the Inspiron 15-5567?
No -- this system is not equipped with a pressure-sensitive digitizer. It's a touchscreen model.
If you want a digitizing 15" system, there aren't many out there - Lenovo has a couple of 15" systems that are true tablets. Figure on well north of $1,000- probably nearer or over $1,500 -- for a 15" system with true tablet functionality. It's not what you'll find on a budget Insprion 5567.