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Check the validity of the statements given below by the method given against it.(i) p: The sum of an irrational number and a rational number is irrational (by contradiction method).(ii) q: If n is a real number with `n > 3`, then `n^2>9

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Check the validity of the statements given below by the method given against it. p : The sum of an irrational number and a rational number is irrational.

Check the validity of the statements given below by the method given against it.(i) p: The sum of an irrational number and a rational number is irrational (by contradiction method).(ii) q: If n is a real number with n>3 then (by contradiction method).

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MODERN PUBLICATION-MATHEMATICAL REASONING -MISCELLANEOUS EXERCISE ON CHAPTER (14)
  1. Write the negation of the following statement: p : For every positive ...

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  2. Write the negation of the followig statements : q : All crimes are p...

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  3. Write the negation of the following statement: q : For every real numb...

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  4. Write the negation of the following statement: r : There exists a numb...

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  5. State the converse and contrapositive of each of the following stat...

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  6. State the converse and contrapositive of each of the following stat...

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  7. State the converse and contrapositive of each of the following stat...

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  8. Write each of the stateemnts in the form "if p, then q " p : It is...

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  9. Write each of the following statements in the form if p then q : There...

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  10. Write each of the following statements in the form if p then q : You c...

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  11. Rewrite each of the following statements in the form p if and only ...

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  12. Write each of the following using 'if and only if': (i) In order to ...

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  13. Rewrite each of the following statements in the form p if only ifq ...

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  14. Given below are two statements p : 25 is a multiple of 5. q : 25 is...

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  15. Check the validity of the statements given below by the method given ...

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  16. Check the validity of the statements given below by the method given ...

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  17. Write the following statement in five different ways, conveying the...

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