imply, infer

Imply or imply means to hint at, suggest, or signify, when speaking or writing--
His tone seems to imply that he is not really very angry.
I'm sure he doesn't mean to imply that he didn't enjoy the party.
Imply may also mean to involve as a necessary part of, usually when speaking of formal logic--
Does the design imply an intelligent creator? Some people believe so.

Infer or infer means to read into, guess, or surmise, when listening or reading--
We can infer from his lack of response that he is not interested in the outcome.
His voice was pleasant, but his choice of words led me to infer hostility.
Infer may also mean to arrive at by reason, or to conclude based on evidence of some kind, usually when speaking of formal logic--
We can infer two gunmen from the two different bullets, but we might be wrong.

Now that you know that, you can say--
"Can I help it if he wants to infer that I dislike him, although I'm sure I didn't imply any such thing."

Note--not to be confused with the phrase "in fur" ( rhymes with infer ), meaning clothed in the hairyskin of an animal--
He's an animal activist; he tells everyone that animals look better in fur than people do.