Eviction situation

[Armand Dixon]

Good afternoon everyone, I'm in the process of evicting one of my tenants in Chicago, IL. He has not paid his rent for neither August nor September. He gave me a 30 day notice September 1st, but still owes the money. Can I still serve him a 5 day notice to supersede the 30 day notice given by the tenant, even though he hasn't paid? Cook county has some funny regulations and I want to be in my right to get him out.