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Disprove, by finding a suitable counter example, the statement. `x^2 gt y^2` for all `x gt y`

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VGS PUBLICATION-BRILLIANT-PROOFS IN MATHEMATICS-EXERCISE
  1. Restate the following statements with appropriate conditions, so that ...

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  2. Restate the following statements with appropriate conditions, so that ...

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  3. Disprove, by finding a suitable counter example, the statement. x^2 gt...

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  4. Use deductive reasoning to answer the following: Human beings are m...

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  5. Use deductive reasoning to answer the following: All Telugu people ...

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  6. Use deductive reasoning to answer the following: Martians have red ...

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  7. Once again you are given four cards. Each card has a number printed on...

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  8. Think of this puzzle What do you need to find a chosen number from thi...

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  9. Which of the following sentences are statements? Give reasons for your...

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  10. The product of two odd natural numbers is odd.

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  11. The product of any two consecutive even natural numbers is divisible b...

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  12. Take any three consecutive odd numbers and find their product, for e...

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  13. Take any three consecutive even numbers and add them , say , 2+4 + ...

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  14. Look at the following pattern. i) 28=2^2×7^1 , Total number of factors...

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  15. Look at the following pattern. ii) 30=2^1×3^1×5^1 , Total number of fa...

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  16. Look at the following pattern: 1^(2) = 1 11^(2) =121 111^2 = 12...

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  17. List five axioms (postulates) used in text book.

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  18. In a polynomial p(x)=x^(2) + x + 41 put different value of x and find ...

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  19. State which of the following are mathematical statements and which are...

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  20. State which of the following are mathematical statements and which are...

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