Is quality control and inspection are synonymous?

No, they are not synonymous. An inspection is part of quality control and serve the purpose of finding a defect in a product or service or in the process of making it or providing it (some could used it to verify it is a good product or process and make it a positive evaluation). Quality control is much bigger; it includes the inspections and reporting. It might include some type of enforcing/follow up of corrections (some could could also use it to encourage continuance of the good parts of the process).