The following two statements are logically equivalent (pq)(rq) and (pr)q True False Question 11 (pq)pq(pq)pq The above law is called De Morgans Law Absorption Law Complement Law Double Negation Law Question 12 To prove the this identity p(qr)q(pr) The following reasoning is valid: p(qr)p(qr) Conditional identity p(qr) Double negation law p(qr) Conditional identity (pq)r Associative law (qp)r Commutative law q(pr) Associative law q(pr) Conditional identity True False Which of the following arguments are invalid and which are valid? Prove your answer by replacing each proposition with a variable to obtain the form of the argument. Then prove that the form is valid or invalid. He studied for the test or he failed the test or both. He passed the test. He studied for the test