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1.
disrespectful, rude, insolent or inappropriate such as when discussing or addressing a person or matter socially regarded as entitled to respect, deference or serious treatment.
Deuce was being irreverent when he referred to his brother's date as being, "An attractive young thing if you overlooked her lack of teeth and tatooed forehead."

When he called his teacher "Commandant of the Algebra Gulag", he was being good naturedly irreverent.
by Captain Crappy November 23, 2009