Final answer:
cAMP binds to the Lac repressor, increasing its affinity for a DNA site near the lac operon promoter.
Step-by-step explanation:
The statement in the question is true. cAMP (cyclic AMP) binds to the Lac repressor, increasing its affinity for a DNA site near the lac operon promoter. This binding allows the Lac repressor to more effectively bind to the operator region of the lac operon, inhibiting transcription of the structural genes. When cAMP is present, it binds to the Lac repressor and facilitates the release of the repressor from the operator, allowing transcription to occur.