Part A: What is deductive reasoning?Part B: Classify this proof as valid or invalid.All robots are vacuums.PR-400 is a robot.PR-400 is a vacuum.Part C: Give an example of an invalid argument, and explain why it is invalid.

When can a theorem be cited as a reason reason in a proof?

Name the type of reasoning used in the following scenario. While shopping for a new television, Henry finds that each of the first five TVs he sees are smart TVs. Before looking at the sixth TV, Henry concludes that the sixth set will also be a smart TV.

Which type of reasoning is illustrated below?_______ Because it has rained the previous four days, Annie concludes that it will rain again today.