The example of Inducible Operon is

An example of an Inducible Operon is the Lac operon.
The lac operon (lactose operon) is an operon required for the transport and metabolism of lactose in E. coli and many other enteric bacteria.
The type of regulation that the lac operon undergoes is referred to as negative inducible, meaning that the gene is turned off by the regulatory factor (lac repressor) unless some molecule (lactose) is added.