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Write 'T' for True and 'F' for False. ...

Write 'T' for True and 'F' for False.
p unless q means `~| q implies p`.

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To determine the truth value of the statement "P unless Q means `~Q implies P`", we will analyze the statement step by step. ### Step-by-Step Solution: 1. **Understanding "P unless Q":** - The phrase "P unless Q" can be interpreted in logical terms. It means that P is true if Q is not true. In other words, if Q is false, then P must be true. 2. **Rewriting the Statement:** - The phrase "P unless Q" can be rewritten using logical implications. It can be expressed as "If not Q, then P". This is equivalent to saying that if Q is false, then P must be true. 3. **Symbolic Representation:** - In symbolic logic, "P unless Q" can be represented as: \[ \neg Q \implies P \] - Here, \(\neg Q\) represents "not Q", and the implication (\(\implies\)) indicates that if \(\neg Q\) is true, then P must also be true. 4. **Comparing with the Given Statement:** - The statement we need to verify is that "P unless Q means `~Q implies P`". We have rewritten "P unless Q" as \(\neg Q \implies P\). 5. **Conclusion:** - Since our analysis shows that "P unless Q" is indeed equivalent to \(\neg Q \implies P\), we conclude that the statement is true. Thus, the truth value of the statement "P unless Q means `~Q implies P`" is **T (True)**.
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ML KHANNA-MATHEMATICAL REASONING-PROBLEM SET (1)(TRUE OR FALSE)
  1. Write 'T' for True and 'F' for False. A statement is not a declarati...

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  2. Write 'T' for True and 'F' for False. The equation of 4x +2=6 is an...

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  3. Write 'T' for True and 'F' for False. p unless q means ~| q implies ...

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  4. Write 'T' for True and 'F' for False. "If you read" then you will p...

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  5. Write 'T' for True and 'F' for False. ~| (p implies q)=p ^^ ~| q.

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  6. Write 'T' for True and 'F' for False. (p vv q) ^^ q = p.

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  7. Write 'T' for True and 'F' for False. (p vv q) ^^ p =p is an absorpt...

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  8. Write 'T' for True and 'F' for False. (p hArr q) hArr (p implies q) ...

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  9. Write 'T' for True and 'F' for False. If p is false and q is true, ...

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  10. Write 'T' for True and 'F' for False. Always true statement is calle...

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  11. Write 'T' for True and 'F' for False. 1 stands for true and 0 stands...

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  12. Write 'T' for True and 'F' for False. If (p ^^ q) implies r in this ...

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  13. Write 'T' for True and 'F' for False. If p -= q, then p hArr q will ...

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  14. Write 'T' for True and 'F' for False. p vv (q ^^ r) -= (p vv q) ^^ (...

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  15. Write 'T' for True and 'F' for False. ~| (p hArr q) -= p hArr ~| q -...

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  16. Write 'T' for True and 'F' for False. (p implies q) vv (r implies p)...

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  17. Write 'T' for True and 'F' for False. (p vv q) ^^ r is a dual of (p ...

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  18. Write 'T' for True and 'F' for False. (p ^^ q) implies q is not taut...

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  19. Write 'T' for True and 'F' for False. ~| (p implies q) vv r is a dua...

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  20. Write 'T' for True and 'F' for False. p ^^ (p implies q) = q is unde...

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