6. Is the following a valid deduction rule? Explain. P → ¬Q ¬P → R .. PV¬Q V R 7. Prove that if n² is a multiple of 6, then n is also a multiple of 6. [Hint: Consider residues modulo 6. An integer...

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6. Is the following a valid deduction rule? Explain.<br>P → ¬Q<br>¬P → R<br>.. PV¬Q V R<br>7. Prove that if n² is a multiple of 6, then n is also a multiple of 6. [Hint: Consider residues<br>modulo 6. An integer being a multiple of 6 means 3 and 2 are both factors may be a helpful<br>fact, as well.]<br>

Extracted text: 6. Is the following a valid deduction rule? Explain. P → ¬Q ¬P → R .. PV¬Q V R 7. Prove that if n² is a multiple of 6, then n is also a multiple of 6. [Hint: Consider residues modulo 6. An integer being a multiple of 6 means 3 and 2 are both factors may be a helpful fact, as well.]

Jun 04, 2022

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6. Is the following a valid deduction rule? Explain. P → ¬Q ¬P → R .. PV¬Q V R 7. Prove that if n² is a multiple of 6, then n is also a multiple of 6. [Hint: Consider residues modulo 6. An integer...

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