Suggestion
/səˈd͡ʒɛstjən/
noun
Something suggested (with subsequent adposition being for)
“I have a small suggestion for fixing this: try lifting the left side up a bit.”
The act of suggesting.
“Suggestion often works better than explicit demand.”
Something implied, which the mind is liable to take as fact.
“He's somehow picked up the suggestion that I like peanuts.”
Synonyms: hint, incitement, proposal