5. Show that (¬ p V q) → ((p ^ ¬q) is a tautology.

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A: Solution is attached below.

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A: True Statement

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A:

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A:

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Q: 5. Show that if A , then AnB -a. Hint Use the contrapositive.

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A: Since you have posted a multiple questions, we will solve the first complete question and request…

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A:

Q: 8. Show that ¬(p → q) V (-p + ¬q) is a tautology.

A:

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A: Given Below clear explanation

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Q: the statement Pv~(P^Q) IS tautology not tautology Skip neither tautology nor ontology

A: Tautology lagical statement

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A:

Q: 2.Show that (P 'n Q) V (Q 'n P) is a Tautology.

A: To Show- Show that P' ∧ Q ∨ Q' ∧ P is a Tautology.

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A:

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A: Hello. Since your question has multiple questions, we will solve the first question for you. If you…