Home
Class 11
MATHS
Show that the statement p:"If x is a rea...

Show that the statement p:"If x is a real number such that `x^3+4x=0` then x is 0" is true by
Direct method.

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    V PUBLICATION|Exercise QUESTIONBANK|95 Videos
  • PERMUTATIONS AND COMBINATIONS

    V PUBLICATION|Exercise QUESTIONBANK|79 Videos

Similar Questions

Explore conceptually related problems

Show that the statement p:"If x is a real number such that x^3+4x=0 then x is 0" is true by method of contrapositive.

Show that the statement p:"If x is a real number such that x^3+4x=0 then x is 0" is true by Method of contradiction.

Solve 5x-3 lt7 , when x is a real number

Solve 4x-5<7 , when x is a real number.

Solve 3x + 8 gt 2 when x is a real number.

Write the negation of the following statements r : For every real number x, either x gt 1 or x lt 1

Write the negation of the following statements. p: For evéry positive real number x , the number x-1 is also positive.

(b)Show that the following statement is true by the method of contrapositive:"If x^2 is evm , x in Z,then x is also even".

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

V PUBLICATION-MATHEMATICAL REASONING-QUESTION BANK
  1. Verify by the method of contradiction. p: sqrt7 is irrational.

    Text Solution

    |

  2. By giving a counter example, show that the following statement is fals...

    Text Solution

    |

  3. Show that the statement p:"If x is a real number such that x^3+4x=0 th...

    Text Solution

    |

  4. Show that the statement : "For any real numbers a and b, a^2=b^2 impli...

    Text Solution

    |

  5. Write the converse of the statement:'If a number n is even, then n^2 i...

    Text Solution

    |

  6. By giving a counter example, show that the following statements are no...

    Text Solution

    |

  7. Which of the following statements are trụe and which are false. In eac...

    Text Solution

    |

  8. Which of the following statements are true and which are false.?In eac...

    Text Solution

    |

  9. Which of the following statements are true and which are false?Give va...

    Text Solution

    |

  10. Which of the following statements are true and which are false?Give va...

    Text Solution

    |

  11. Which of the following statements are true and which are false?Give va...

    Text Solution

    |

  12. Check whether Or used in the following compound statement is exclusive...

    Text Solution

    |

  13. Write the negation of the following statements: (i) p: For every real...

    Text Solution

    |

  14. Write the contrapositive of the statement: “If the integer n is odd, t...

    Text Solution

    |

  15. Write the negation of the following statements. p: For evéry positive...

    Text Solution

    |

  16. Write the negation of the following statement. q : All cats scratch

    Text Solution

    |

  17. Write the the negation of the following statement. r : For every real ...

    Text Solution

    |

  18. Write the negation of the following statement. s: There exists a numbe...

    Text Solution

    |

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

    Text Solution

    |

  20. Write each of the statements in the form "if p, then q". p: It is nẹc...

    Text Solution

    |