Can't connect my 2208WFPt to my XPS 13 (2015)

Hi ! I realize this issue has probably been adressed before, but I wasn't sure what to buy, so I prefered asking directly so I won't buy the wrong cable/converter again :)

I've recently bought my new XPS 13 and decided to keep my old monitor, so I can use it once in a while for work. My monitor is a Dell 2208 WFPt. I updated my XPS to Windows 10. Up to now, I've been able to connect my computer easily to my HDMI tv with a cable, but my monitor is still undetected and just goes to sleep.

I bought this adapter thinking it would be as easy as it was with my tv (www.amazon.ca/.../B00KHRSGO8;redirect=true&ref_=oh_aui_detailpage_o00_s00).So i used my mini DisplayPort to a DVI cable via the adapter.

My video card is Intel HD Graphics 5500. 

Please let me know what next steps I should take. I realize I may have the wrong cable, but if the one I have is suppose to work, what should I try?

Thank you,

Catherine