Which of the following statement(s) is(are) CORRECT regarding the $lac$ operon in $E. coli$ when grown in the presence of glucose and lactose?
- At low glucose level, the operon is activated
- At high glucose level, the operon is activated to enable the utilization of lactose
- The $lac$ repressor binds to operator region inactivating the operon
- Binding of lactose to the $lac$ repressor induces the operon