What is no bail for jail inmate mean?

Basically means they are being held without bail.  In other words, no amount of money will secure thier freedom. Thier lawyer can request a bail hearing where the judge can set the bail amount or deny bail altogether. Usually depends on the offense and the potential flight risk of the inmate. Example; O. J. Simpson was denied bail when charged with two counts of murder. So he remained in custody until and during his trial and was only released after a not guilty verdict was reached by the jury.  There are also some crimes that are known as non-bailable offenses.