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 TAMIL|Exercise EXERCISE 14.1|11 Videos

  • MATHEMATICAL REASONING

    NCERT TAMIL|Exercise EXERCISE 14.2|10 Videos

  • LINEAR INEQUALITIES

    NCERT TAMIL|Exercise EXERCISE (Miscellaneous Exercise on Chapter 6)|4 Videos

  • MATRICES AND DETERMINANTS

    NCERT TAMIL|Exercise EXERCISE 7.5|25 Videos

Similar Questions

Explore conceptually related problems

Write the negation of the following statements: r: For every real number x, either x > 1 or x < 1.

Write the negation of the following statements: (i) p: All birds have wings. (ii) s: All students study mathematics at the elementary level.

Write the negation of the following 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 0 < x < 1.

Write the negation of the following statement: i. p: for every positive real number x, the number x-1 is also positive. ii. q : All cats scratch. r: For every real number x, either x>1 or x iv. s : There exists a number x such that 0ltxlt1 .

Are the following pairs of statements negations of each other: The number x is a rational number. The number x is an irrational number.

Identify the quantifier in the following statements and write the negation of the statements. For every real number x, x is less than x + 1.

Write the negation of the following statements: (i) Chennai is the capital of Tami Nadu. (ii) sqrt2 is not a complex number (iii) All triangle are not equilateral triangle.

Are the following pairs of statements negations of each other: The number x is not a rational number. The number x is not an irrational number.

The set of all real numbers x for which x^2-|x+2| +x gt 0 is

NCERT TAMIL-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 following statements: p: For every positiv...

    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 n...

    Text Solution

    |

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

    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 statements in the form ''if p, then q'' p: It is n...

    Text Solution

    |

  10. Write each of the statements in the form ''if p, then q'' q: There i...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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

    |