Home
Class 11
MATHS
Write the negation of the following stat...

Write the negation of the following statements:
(i) p: For every real number `x, x^(2)gtx`.
(ii) q: There exists a rational number x such that `x^(2) = 2`.
(iii) r: All birds have wings.
(iv) s: All students study mathematics at the elementary level.

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    NCERT GUJARATI|Exercise EXERCISE 14.1|11 Videos
  • MATHEMATICAL REASONING

    NCERT GUJARATI|Exercise EXERCISE 14.2|10 Videos
  • LINEAR INEQUALITIES

    NCERT GUJARATI|Exercise EXERCISE (Miscellaneous Exercise on Chapter 6)|4 Videos
  • PERMUTATIONS AND COMBINATIONS

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 7|11 Videos

Similar Questions

Explore conceptually related problems

Write the negation of the following statements: p: For every real number x,x^(2)ltx .

Write the negation of the following statements: r: For every real number x such that xgt1 or xlt1 .

Write the negation of the following statements: r: All birds have wings.

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

Write the negation of the following statements: s: There exists a number x such that 0ltxlt1

Write the negation of the following statements: q: There exists a rational number x such that x^(2)=2

Write the negation of the following statements: s: All students study mathematics at the elementary level.

Identify the Quantifiers in the following statements: for all real number x and y ,x.y=y.x

NCERT GUJARATI-MATHEMATICAL REASONING-Miscellaneous Exercise on Chapter 14
  1. Write the negation of the following statements: (i) p: For every rea...

    Text Solution

    |

  2. Write the negation of the followng statements: p: For every positive...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Given below we two statements: p: 25 is a multiple of 5. q: 25 is ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |