Directions: Type your solutions into this document and be sure to show all stepsfor arriving at your solution. Just giving a final number may not receive full credit.PROBLEM 1Part 1. Indicate whether the argument is valid or invalid. For validarguments, prove that the argument is valid using a truth table. Forinvalid arguments, give truth values for the variables showing that theargument is not valid.(1)(pAq) →r.. (p V q) → rPart 2. Converse and inverse errors are typical forms of invalid argu-ments. Prove that each argument is invalid by giving truth values forthe variables showing that the argument is invalid. You may find it eas-ier to find the truth values by constructing a truth table.(a) Converse error..P(b) Inverse error..-Part 3. Which of the following arguments are invalid and which arevalid? Prove your answer by replacing each proposition with a variableto obtain the form of the argument. Then prove that the form is validor invalid.(а)The patient has high blood pressure or diabetes or both.The patient has diabetes or high cholesterol or both... The patient has high blood pressure or high cholesterol.

Name: Directions: Type your solutions into this document and be sure to sho
Uploaded: 2024-03-20T06:38:44.000Z
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Description: Directions: Type your solutions into this document and be sure to show all stepsfor arriving at your solution. Just giving a final number may not receive full credit.PROBLEM 1Part 1. Indicate whether the argument is valid or invalid. For validargume