If you see a comparison that involves "like" / "as" you get the most bang for your bucket immediately checking the splits that differentiate beween like and as.
Now, like does not make so much sense here, this construction is basically a perfect example when to NOT use like. When listing examples and before phrases you use [such] as in general.
Immediately narrowed down to three answer choices .. from there, (C) sounds totally wrong "the ordinance is intended to force seperating ..." no bueno!
D) is essentially the worse version of E), more wordy and redundant. I always ask myself if the words added make a difference or not to decide between such splits, but clearly it does not make sense to write D) in such a complicated way compared to E).
E) is the winner-winner chicken dinner
The ordinance is intended to force householders to separate such hazardous waste like pesticides, batteries, fertilizers, and oil-based paints from the general stream of household trash.
(A) to separate such hazardous waste
like(B) that they should separate such hazardous waste
like(C) separating such hazardous wastes
as(D) that they should separate such hazardous wastes
as(E) to separate such hazardous wastes
as