you are likely to find Dust in/at/on Floor. you are likely to find Floor in/at/on Carpet. you are likely to find Nasty in/at/on Carpet. 
Notice entails/necessarily involves Perceive. Touch is a type of Perceive. Violate is a type of Touch. Violate is a synonym of Rape. 
Dust --AtLocation--> Floor --AtLocation--> Carpet <--AtLocation-- Nasty 
Notice --Entails--> Perceive <--IsA-- Touch <--IsA-- Violate <--Synonym--> Rape 