The document summarizes the lac operon in E. coli, which regulates the metabolism of lactose. The lac operon consists of structural genes (lacZYA) that encode enzymes for lactose catabolism, and control genes (promoter, operator, and repressor) that regulate expression. In the absence of lactose, the repressor binds the operator/promoter region, blocking transcription. In the presence of lactose or inducer molecules like IPTG, the repressor binds lactose instead, allowing transcription and expression of the structural genes. Glucose inhibits induction by lowering cellular cAMP levels needed for RNA polymerase binding to the promoter. The lac operon demonstrates negative and positive regulation of gene expression.