If p → q is a false statement, which of the following statements are true? i. ( p v q ) ʌ p ii. - p ↔ - q iii. q → p A. i and ii B. ii and iii C. i and iii D. i, ii and iii

Q: Let P(x) means "x is a freshman" and Q(x) means "x is a math major". Write the statement "Every math…

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Q: idn’t have a hammer, I wouldn’t hammer in the morning.” b. If I don’t hammer in the morning, I don’t…

A: The given statement is  If I had a hammer, I would hammer in the morning. Then it is obvious that…

Q: Which one of the statements in the following alternatives is equivalent to ((p →q)) v q? (Hint:…

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Q: For each pair of statements, choose the one that is true. O 3 c {2, 3} (a) O {3} c {2, 3} Or c {r,…

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Q: Complete the following Truth Table par~p V (q v~r) TTT (a) TTF (b) TFT (c) TFF (d) FTT (e) FTF (f)…

A: To complete the given truth table .

Q: Select the two statements that are equivalent to the following statement: If the cow is orange, then…

A: We have to check

Q: Which of the following propositions is an absurdity? A. (~ m V n)→~ n B. (p ^~ q ) – (~ p V q) C. -…

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Q: Construct a truth table for the statement. ~(p v ~g) pv ng ~(p v ~g) ? : ? ? : F ? ? ? FT ? : ? F ?

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Q: The following statement is written as a conditional: If 51% of the population are men, then 49% of…

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Q: Given that a = Substance abuse is a moral concern. b = Addiction can be treated. c = Abuse of…

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Q: Let the statements A, B be A: (not p) and q, B: (not p) or (not q). If p = F and q = T, then DA = F,…

A: The objective is to solve the problem

Q: Complete the truth table for the following compound statement.(q→~p)∨~r(q→~p)∨~r p q r ~p~p ~r~r…

A: Given: p q r T T T T T F T F T T F F F T T F T F F F T F F F

Q: Complete the truth table for the statement Ал (В v С). A B C Ал (Вv C) ? T|F ? T| F ? E F ? F ? T F…

A: Use the following truth table to evaluate A∧(B∨C) . p q p∨q p∧q T T T T T F T F F T T F F…

Q: ' Suppose that you are given the following logical statement - A V B + ¬ C ^ D on our discussion of…

A: Given logical statement, ¬A∨B↔¬C∧D Firstly, The order of operation is to be determined.

Q: 20. Given that P and Q are mathematical statements, then the statement ~ P = Q = A. Q =~ P B. Q = P…

A: Given ,  P and Q are mathematical statements , then the statement ~ P ⇒ Q ≡

Q: If A and B are two equivalent sentences, then (a) A → [(A v B) Ð~ B] is true (b) A → [(A v B) O~ B]…

A: The truth table for A→B can be presented as follows. A B A→B T T T T F F F T T F F T…

Q: Which statement below is true? A. If p q is true, then q p is true. > B. If p q is true and p is…

A: We have to state which is true from the given option.

Q: If p, q and r are all FALSE statements, which of the following is TRUE? O a. ~p+ (q V r) O b. ~q→…

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Q: Let A be the statement "Alden is Asian" and B be the statement "Bernie is American". Which of the…

A: If P and Q are two statement, then P -> Q is conditional statement which implies P will happen…

Q: Given two statements p and q, the converse of p=qis 9. A p=-q B q=p C ~p=q D~q=p

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Q: Complete the truth table for the following compound statement. (~q → p) V r p |q ~ q → p | (~ q - r…

A: A truth table is used to define the truth and falsity of a statement. The statement ~q is read as…

Q: Assume that p and q are true statements and that r is a false statement. Which of the following…

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Q: (p ∧ ~q) → [~(p ∧ q)]

A: p q (p ∧ ¬q) → ¬(p ∧ q) F F T F T T T F T T T T

Q: Look at the diagram and evaluate. Which of the statements below is TRUE? Q -> 01 23 4 5 6 7 8 9 10…

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Q: Let P. Q. R be true, false true, respectively. Which of the following is true? * PA ΡAQAR PA~Q ^~R O…

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Q: Let P(x) means "x is a freshman" and Q(x) means "x is a math major". Write the statement "Some…

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Q: Which of the following sentences is logically equivalent to -JarVy(P(z, y)- Q(, y))? O BarVy(P(r, y)…

A: Since you have asked for multiple questions, we will solve the first question for you. If you want…

Q: Given P(A) = 0.30, P(B) = 0.46 , and P(A and B) = 0.31 is P(AorB) ?

A: Given that, P(A)= 0.30 and P(B)=0.46 PA and B=PA∩B=0.31 From the probability theory, PA or B=PA∪B…

Q: Are the following two propositiona pAq=q^p^p^p^p

A: Introduction: A proposition is a collection of declarative statements with the truth value "true" or…

Q: Which of the following is equivalent to the statement "If Mark is smart, then Mark is responsible."…

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Q: Complete the truth table for the statement pa (q → s). S p^ (q → s) T T ? T|F F ? F T ? F F ? T ? F…

A: Topic-Logic

Q: if fe will is is true and steve will dance is false, which of the following statement is false?…

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Q: Let p,q, and r represent the following statement. p: I eat bananas q: I like ice cream r: I…

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Q: The following statement is written as a conditional: I love green eggs and ham. O True O False

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Q: Which statement is the converse of the conditional statement? If MN is a diameter of circle C, then…

A: We have to find the converse statement

Q: The proposition p∧qp∧q is equivalent to  Select one: a. p↔qp↔q b. ∼(p→∼q)∼(p→∼q) c. ∼(p∨q)∼(p∨q)…

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Q: 2. If A BFG= AHIJ, which of the following statements must be true? O AF EG AIHJ O ABFG = AJIH O ABFG…

A: Here we have to use the concept of the congruent triangle .

Q: Let S = {Ø, {a}, b, {a, b, c}}.Select the statements that are true. {b, {a,b,c}} C S {b, {a} ,Ø} C S…

A: If A is a set whose all element are from the another set B, then A is said to be subset of set B.

Q: Is the statement ¬(¬p ^ q) ^ (p v q) logically equivalent to q?

A: Given,     ¬(¬p∧q)∧(p∨q) is logically equivalent to ____?____

Q: Given the compound statement (s t) ^ (¬u v (s → t)) ¬(s © (t v u)). Suppose that s=TRUE, t=FALSE,…

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Q: Which of the following pairs of statements are different from each other? A. (p⇒q)/p ⇒ q B. (p⇒ q)/p…

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Q: Complete the truth table for the statements. p q p ∨∨ q p ∧∧ q p →→ q p ↔↔ q T T ? F T  ? F T  ?…

A: Construct a truth table for p∨q as follows. p q p∨q T T T T F T F T T F F F

Q: Which among the following statements is (are) false? * O vxVy,M(x,y)=Vyvx,M(x,y) O…

A: The first statement is,∀x∀y,Mx,y≡∀y∀x,Mx,yThe second statement is,∀x∃y,M(x,y)≡∀y∃x,M(x,y)

Q: Which of the following conditional statements is/are equivalent to, “If it rains, then I will not go…

A: A conditional statement is logically equivalent to its contrapositive Conditional statement : If p ,…

Q: Given the compound statement (s e t) a (¬u v (s A t)) ^ (s ® (t v u)). Suppose that s=TRUE, t=FALSE,…

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Q: Let P(x) means "x is a freshman" and Q(x) means "x is a math major". Write the statement "Some…

A: We will use the given information to find the correct option for the given question. Some freshmen…

Q: Assume that p and q are true statements and that r is a false statement. Which " of the following…

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Q: Which of the following sentences is a contradiction? Select one: O O a. (q→ p) → (p → q) b. (q V p)…

A: We have to find the correct choice.

Q: Choose the correct answer to the question below: * Which of the followingis logicallyequivalent to -…

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