Final answer:
It is true that the police must not persuade a suspect to continue questioning without an attorney present once the suspect has invoked their right to one, according to Miranda rights and related legal precedents.
Step-by-step explanation:
If a suspect invokes the right to have an attorney present during questioning, it is true that the police must not attempt to persuade the suspect to continue the questioning without an attorney present. This protection stems from landmark cases such as Escobedo v. Illinois and Miranda v. Arizona, which established the necessity of notifying suspects of their right to counsel and the right against self-incrimination under the Fifth Amendment.
The Miranda rights must be read to the suspects, ensuring they are aware that they have the right to remain silent, anything they say can be used against them, they have a right to be represented by a lawyer, and if they cannot afford one, an attorney will be provided. These rights ensure that an individual's due process rights are protected and prevent the state from obtaining a confession through coercive means.