Use 'unmannerly' when someone acts inappropriately in social settings, breaking accepted social norms. Speaking with your mouth full is considered unmannerly.
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Cultural Sensitivity
'Unmannerly' can reflect cultural expectations; what's rude in one culture may not be in another. Refusing food at a dinner may come off as unmannerly in some cultures.
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Severity of Rudeness
'Unmannerly' often implies a lighter form of rudeness, not as harsh as insults or offensive language. Not thanking someone for a gift might be seen as unmannerly.