a)find a proposition using only p, q, and ~ (negation) and V (or)  b) find a propostion with three variables p, q, and r that is false when at least one of the prepositons is true and is true otherwise

Q: Use two truth tables to show that each of the propositions are equivalent.  e.  (p \/ q) /\ r and p…

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Q: 9. Determine whether the compound proposition is satisfiable: (-pv-q v r)^(-p V q V-s) A (pv -q V-s)…

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Q: Exhaust all the possible truth values of the following compound propositions: * ~ (p+q)V ~ p

A: We have to exhaust all the truth values of given compound proposition

Q: Let A and B be two logically equivalent compound propositions. Then * O (AAB)→(AVB) is a…

A: In the given question given that A and B are two logically equivalent compund statement then we have…

Q: Write a compound proposition involving the propositional variables p, q and r that is true when p or…

A: p q r p∨q ~r (p∨q)∧~r T T T T F F T T F T T T T F T T F F T F F T T T F T T T F F F T F…

Q: Q3) Let A, S, R be the propositions: A: Ahmed passed the Exam S: Samir passed the Exam R: Rami…

A: Hey, since there are multiple sub-parts posted, we will answer the first 3 sub-parts. If you want…

Q: ) Establish whether each of the following propositions is a tautology, contradiction or contingency:…

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Q: Simplify the following logical expressions using the laws of algebra of propositions. [(p → q) → q]…

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Q: Find a proposition with three variables p, q, and r that is never true

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Q: c) Let p: I obtain the certificate of achievement q: I study hard r: I pass the final examination…

A: Given, p= I obtain the certificate of achievement q= I study hard r= I pass the final examination

Q: Which of the following truth values for P and Q will make the propositional form (Q^ ¬P)→P FALSE? A…

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Q: 2. By constructing a truth table, show that p V (q ^ r)and (p V q) ^ (p V r)are logically…

A: We will make the truth table for verifying the logical equivalence of given statement.

Q: Construct the truth table of each of these compound propositions. a. (p-q) (p b (pA q) Ar c (rAq)-p…

A: As per our guidelines we are supposed to answer only 1st three sub parts. Kindly repost other…

Q: d) Let p and q be the propositions: p: I will do every exercise in this book q: I will get an 'A’ in…

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Q: Use two truth tables to show that each of the propositions are equivalent.  f. (p /\ q) /\ r and p…

A: Remember the truth table for p∧q pp qq p \wedge qp∧q True True True True False False False…

Q: P,q and r, (p q) ((p V r)(q Vr))?

A: A proposition is the case if its valid (i.e. its a tautology) p→q⇔p∨r→q∨r

Q: 1. Construct a truth table for each of the following compound and tell whether it is tautology,…

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Q: Use a truth table to show that this logical law is a tautology: p V (q Ar) = (p v q) A (p V r)

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Q: Let

A: Given three conditions, The first condition given is Exactly tow passed the Exam, Answer:…

Q: Verify whether the compound proposition (p v - q)A ~(q^ ~p) is equivalent to qA ~p or not.

A: By the properties of logical equivalence you can solve the given problem as follows

Q: c) Use quantifiers to express the statement "if somebody is female and is a parent, then this person…

A: c) we need to express the given statement using quantifiers The given statement is " if somebody is…

Q: Create a compound proposition involving propositions p, q, and r in a logical notation and construct…

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Q: . Construct a truth table for each of these compound propositions -) (p-->q) ^ (-p -->r) ) (pq) v…

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Q: Determine whether the statement forms are logically equivalent. In each case, construct a truth…

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