Eliminate is a type of Remove. Dust entails/necessarily involves Remove. 
Comparable is a synonym of Similar. Similar is the opposite of Unlike. Unlike is a synonym of Diverse. Diverse is similar to Different. 
Eliminate --IsA--> Remove <--Entails-- Dust 
Comparable <--Synonym--> Similar <--Antonym--> Unlike <--Synonym--> Diverse <--SimilarTo--> Different 