To infer is to understand or realize a fact that is not immediately obvious. To imply is to “say something without saying it”, so to speak; when you imply something, you are indicating it to be true without ever actually saying it outright. I infer what you imply, and I infer what you imply. When I speak to you and I’m thinking of you, I infer what you imply.

So I get the feeling that the phrase “A Japanese” is offensive, for many, but you guessed it. In a Japanese context, that is.