Imply means "suggest indirectly that something is true," while infer means "conclude or deduce something is true"; furthermore, to imply is to suggest or throw out a suggestion, while to infer is to include or take in a suggestion.
INFER meaning: 1 : to form (an opinion) from evidence to reach (a conclusion) based on known facts often + from often + that; 2 : to hint or suggest (something) imply