Use the statements and truth table to determine which statements are equivalent. p: It is a fish. q: It eats algae. pqpqpq ~p~q qp ~q → ~p TT F FL T T T T TF F T F T T F FT T LL F T F LL F T FF T T T T T Τ If it eats algae, then it is a fish. It is a fish, and it eats algae. If it is a fish, then it does not eat algae. It is a fish, or it eats algae. If it is a fish, then it eats algae. If it does not eat algae, then it is a fish. If it eats algae, then it is a fish. If it is not a fish, then it does not eat algae.

Q: Select all the true statements. (-15.5, 0) m n Р (-4,8) -10 (-5, -6.8) 20 10 10 q (0, 6.2), (6.8,…

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Q: p: Some koalas sleep during the day.q: All koalas stay up late. Determine the truth table values for…

A: Solution:

Q: For each pair of statements, choose the one that is true. O6 c {5, 6, 7} (a) O 6 {5, 7, 8} o {9, 11,…

A: Subset - comparison between two sets, belongs to - is a relation between an element and a set.

Q: Decide whether each of the following statements are true. (a) If a, b, m, n = N and a | m and b | n,…

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Q: Decide whether each of the following statements are true. (a) If a, b, m, n N and a | mand bn, then…

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Q: Part II. Each set of premises is followed by four possible conclusions. Which of the fo conclusions…

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

Q: P 9 ((p - g) ^p). 9 ((p T T TF FT F LL I 7 Yes No 1 1 c) Is the argument valid? -9 S A conditional…

A: The statement given in the problem is ((p→q)∧p)→q the aim is to construct the truth table for this…

Q: 3. We want to find S so ((A = B) A B) = S is a tautology. A B (A=B) A B TT ((A = B) ^ B) = S S TF FT…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Use the statements and truth table to determine which statements are equivale : It is a bagel. g: It…

A: Step 1: Define what equivalent events areEquivalent events are events with the same output on a…

Q: Complete the truth table for the implication (p ∨ q) → ~r. p q r (p ∨ q) → ~r T T T ? F T  T T F ?…

A: Consider the given statement (p ∨ q) → ~r.

Q: If p is F and q is F, then -p A q is

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Q: Construct a truth table for the statement r-(pvq). P T T F q OTTE TFT r pvq r→(pvq) T F T F F F F F…

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Q: T T T T F F F F 1. If P, then Q is logically equivalent to If ~Q, then ~P. 2. The statement P→ Q is…

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Q: Construct a truth table for the statement, P^ (Qv ¬Q). O O O P T T IF F P T IT IF F P T T F F P T T…

A: Here we have find the truth table for given expression     P ^ ( Q v ~Q)

Q: Complete the truth table for the logical statement-p→-q. pqpqpq TTFF F TFF T T FTT F LL F FFT T T O…

A: If p and q are propositions, then the compound proposition"if p then q" or "p implies q" is called a…

Q: In the diagram, FH = 2FG, GH = HI, and FI = IK. Which of the following statements must be true? G H…

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Q: truct a truth table for the statement. 5) -p A ~r A) pr (-pA-r) B) pr (-pA-r) T T T T F T F F T F T…

A: For this problem we have find complements of p and q and we have to apply AND truth table for them.

Q: р T T T FL LL F v (bd) (b←d) b d~ d ~ F TI T F LL ? ? O ? b ~ d~ v (b← d)] v (b←d)] ? ? ? O ? O ? b…

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Q: Invalid P = x :. x T t T T T f F T F Ff T F T Ft F F F There should be 8 lines. The argument is…

A: The symbol ≡ represents biconditional statement or "if and only if" or "iff" statement. For example:…