I agree with you in some cases, but sexism can be plain-old rudeness directed by men at women -- it's the quantity of it that makes the difference. Racism can follow the same pattern, or it can come in the form of a comment that wouldn't be racist if said to a non-minority.
There's no universally agreed-upon definition of rude, and sexism and racism are very hard to define objectively. They're very context-specific and subjective, for the most part.
There's no universally agreed-upon definition of rude, and sexism and racism are very hard to define objectively. They're very context-specific and subjective, for the most part.