The statement is wrong because Eubacteria are actually known as "true bacteria". The prefix "eu-" in biology typically means "true". They are characterized by a rigid cell wall (often containing peptidoglycan) and a flagellum if motile. In contrast, Archaebacteria are the ones sometimes colloquially referred to as "false bacteria" because they lack certain standard bacterial traits, such as peptidoglycan in their cell walls.

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