Here are two more words that are commonly confused and misused. Both are related to information being communicated in a subtle or indirect way.
This means to hint at or suggest indirectly.
-She implied that she was displeased with the present.
This means to deduce or to conclude from the evidence.
-He inferred from her tone that she was unhappy with the gift.
In short, a speaker implies, a listener infers. (Or, if preferred, a writer implies, a reader infers.)