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Write the negation of the followng state...

Write the negation of the followng statements:
p: For every positive real number x the number `x-1` is also positive.

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The correct Answer is:
There exists a positive real number x such that `x–1` is not positive.
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NCERT GUJARATI-MATHEMATICAL REASONING-Miscellaneous Exercise on Chapter 14
  1. Write the negation of the followng statements: p: For every positive...

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  2. Write the negation of the following statements: q: All cats scratch.

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  3. Write the negation of the following statements: r: For every real num...

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  4. Write the negation of the following statements: s: There exists a num...

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

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

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

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

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  9. Write each of the statement in the form if p, then q: q: There is tra...

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  10. Write each of the statement in the form if p, then q: r: You can acc...

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

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

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

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  14. Given below we 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 a...

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  16. Write the following statement in five different ways, conveying the sa...

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