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If p and q are two statements , prove th...

If p and q are two statements , prove that
` ~( p vee q) -= (~p) ^^ (`~q `)`

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To prove the statement \( \neg (p \vee q) \equiv (\neg p) \wedge (\neg q) \), we will use a truth table to demonstrate the equivalence of both sides. ### Step-by-Step Solution: 1. **Define the Statements**: Let \( p \) and \( q \) be two statements. We will evaluate the truth values for \( p \) and \( q \). 2. **Construct the Truth Table**: ...
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OBJECTIVE RD SHARMA ENGLISH-MATHEMATICAL REASONING -Chapter Test
  1. If p and q are two statements , prove that ~( p vee q) -= (~p) ^^ (...

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  2. Which of the following sentences is a statement ?

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  3. The property ~ ( p ^^ q) -= ~ p vv ~ q is called

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  4. When does the inverse of the statement ~ p Rightarrow q results in T...

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  5. which of the following is a contradiction ?

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  6. In which of the following is equivalent cases, p Rightarrow q is fal...

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  7. Which of the following is equivalent to p Rightarrow q ?

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  8. Which of the following pairs are logically equivalent ?

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  9. Which of the following is Contingency?

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  10. The statement p vv q is

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  11. Which of the following is a tautology ?

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  12. The statement p Rightarrow p vv q

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  13. what are the truth values of ( ~ p Rightarrow ~ q) and ~( ~ p Rightar...

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  14. If truth values of p vv q is ture,then truth value of ~ p ^^ q is

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  15. If p and q are two statements, then p vv ~ ( p Rightarrow ~ q) is ...

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  16. The contrapositive of statement ~ p Rightarrow ( p ^^ ~ q) is

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  17. ~ [ ~ p ^^ ( p harr q)] -= is equivalent to

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  18. If a compound statement r is contradiction , then the truth value of ...

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  19. When does the value of the statement (p ^^ r) harr ( r ^^ q) become...

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  20. If p always speaks against q, then p Rightarrow p vv ~ q is

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  21. Which of the following connectives satisfy commutatiive law ?

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