3) Tosca is an opera or Carmen is not an opera. given that the statements p and q are as indicated a) p v- q b) p ^-q p: Tosca is an opera. q: Carmen is an opera. d) p ^ q op-q

Q: ne expression ¬(p→q) is logically equivalent to: D a. а. paq O b.

A: The given expression is , ¬p→q Symbol →denotes if then. and ¬ denotes negation. Here if p then q,…

Q: 4) Which expression is equivalent to 3(10 + 7 - 8v) - 3v? -51 + 27 51 - 27v 78v A. B. C. D. 24v

A:

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A:

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A: our objective is to find the statement.

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A:

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A: (a)

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A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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A:

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

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A: Given: ~J . K . L⊃ ~M∴ ~J . K

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A: Answer:- If "A" is a set and "x " is an element of the set then the statement "x∈A means that x is…

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A: We want to find dual of (A∧B)∨(C∧D)

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A: True

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Q: O Express o f Jufe cex) in herms of Jo and Ji

A:

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A: Given Information: The states and territories of the United States are given.

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A: Given: Let the statement A be the given by A : p and (q or r)

Q: Use De Morgan’s Laws to determine whether the two statements are equivalent           ~ (p Λ q),…

A: Recall the De Morgan's Law as follows. ~A∨B≡~A∧~B~A∧B≡~A∨~B

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A: Commutative property of Addition  a + b = b + a Associative Property of Addition a + m + k = (a + m)…

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A: Given, A mathematical statements ~q→~p  We have to find the converse of the above statements