Final answer:
A client would exhibit an absence of insight by demonstrating a lack of awareness about their own mental condition, which could include denying symptoms or the need for treatment.
Step-by-step explanation:
The nurse would recognize a statement by a client as evidence of an absence of insight if the client demonstrates a lack of awareness or understanding of their own condition. For example, a client who insists there is nothing wrong with them despite evidence to the contrary, such as experiencing and reporting symptoms of a disorder, shows a lack of insight. This could manifest as denying the need for treatment or being unable to recognize their own mental state and its implications.