Hi!
To infer may mean to introduce some new concept or idea. For example, I can infer that equality should be granted to all individuals.
Inferring can also focus on concluduing, or deducing. It means to reach a point in which you have conjured up some belief or fact.
For example, I can deduce, or, infer, that you are upset by your tone of voice!
Hopefully, this helps! =)