Implication and inference

Implication and inference are two related words which are opposites.
To imply is to suggest something is true without actually saying it. Examples:
To infer is to see the implication in the sentence. When you realize the meaning of the second sentence, and protest "I have never beaten her", you have made an inference. 
Here are the rules:
An implication is always verbal, but inferring is not always verbal. A non-verbal response might show the indirect message (implication) had been accurately interpreted (inferred) by the receiver. Example: "I hate you"! may contain unspoken implications, according to circumstance and tone of voice. Between two lovers it might mean: