Final answer:
In the presence of high lactose and high glucose, the bacteria's lac operon will be affected by Inducer Exclusion where glucose inactivates gal perm through post-translational control. When only lactose is present and lacl- mutation occurs, cAMP binds CAP, resulting in fast transcription of the lac operon as the cAMP-CAP complex binds to CBE.
Step-by-step explanation:
The lac operon is an inducer operon in E. coli that is involved in the metabolism of lactose. It is regulated by several factors including the presence of glucose and lactose in the cell's environment. Regarding Inducer Exclusion (IE), when both glucose and lactose are present, glucose will bind to the gal permease (gal perm) and inactivate it through post-translational modification, not via transcriptional or translational control. In a cell with an lacl- mutation living in high lactose and no glucose conditions, the cAMP levels rise, allowing cAMP to bind to CAP, activating it, and leading to fast transcription of the lac operon as the CAP-cAMP complex binds to the catabolite binding element (CBE).