"Imply" and "Infer" are often thought to mean the same thing. Nevertheless, they cannot be used interchangeably. "Imply" means to suggest something. "Infer" means to deduce something. Examples: Agreeing to a second date implies that you were actually interested in the guy. Because you agreed to a second date, the guy will infer that you felt a connection.
~Reinforcing Proper English by Reviewing Punctuation, Grammar, and Spelling Rules