IMPLY VS INFER.
Imply means to suggest something without directly stating it. Infer means to draw a conclusion or make an assumption on the basis of what someone has said or written.
I hope I didn’t imply (suggest) during our conversation yesterday that I wasn’t happy with the way things are going right now in your department.
When I saw the expression on your face when we were talking earlier today, I inferred (assumed)) that you weren’t happy about the way things have been going lately in my department
When I saw the expression on your face when we were talking earlier today, I inferred (assumed)) that you weren’t happy about the way things have been going lately in my department