Home
Class 12
MATHS
Check whether the following pair of stat...

Check whether the following pair of statements are negation of each other. Give reasons for your answer
`x + y = y + x` is true for every real numbers x and y.
There exists real numbers x and y for which `x + y = y + x.`

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|20 Videos

  • MATHEMATICAL REASONING

    NEW JOYTHI PUBLICATION|Exercise QUESTION FROM COMPETITIVE EXAMS|23 Videos

  • LINEAR PROGRAMMING

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS|12 Videos

  • PERMUTATIONS AND COMBINATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|63 Videos

Similar Questions

Explore conceptually related problems

State whether the following statements are true or false. Give reasons for your answers. For any real number x , x^(2) ge 0 .

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.

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

Check whether the following statement is true or not. Id x, y in Z are such that x and y are odd, then xy is odd.

Check whether the following statement is true or false by proving its contrapositive. If x, y in Ζ such that xy is odd, then both x and y are odd.

Find the values of the real numbers x and y if 3x + (2x - 3y) i=6 + 3i^(9)

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.

Find the real values of x and y, if (3x - 7) + 2 iy = -5y + (5 + x)i

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 .

NEW JOYTHI PUBLICATION-MATHEMATICAL REASONING-QUESTION FROM COMPETITIVE EXAMS
  1. Check whether the following pair of statements are negation of each ot...

    Text Solution

    |

  2. The statement ~(ptoq) is equivalent to

    Text Solution

    |

  3. If p:4 is an even prime number q:6 is a divisor of 12 and r: The H...

    Text Solution

    |

  4. Which of the following is not true for any two statements p and q?

    Text Solution

    |

  5. Let p be the statement 'Ravi races' and let q be the statement 'Ravi w...

    Text Solution

    |

  6. Identify the wrong statement from the below

    Text Solution

    |

  7. Let p:7 is not greater than 4 and q: Paris is in France be two state...

    Text Solution

    |

  8. If S(p,q,r)=(~p)vv[~(q^^r)] is a compound statement, then S(~p,~q,~r) ...

    Text Solution

    |

  9. For any two statements p and q, ~(pvvq)vv(~p^^q) is logically equivale...

    Text Solution

    |

  10. Let p: roses and red and q: The sun is a star. Then the verbal transla...

    Text Solution

    |

  11. The statement pto(q to p) is equivalent to

    Text Solution

    |

  12. The negation of (pvv~q)^^q is

    Text Solution

    |

  13. Which one of the following is not a statement?

    Text Solution

    |

  14. If p:2 plus 3 is five and q: Delhi is the capital of India are two s...

    Text Solution

    |

  15. Which one of the following is a statement?

    Text Solution

    |

  16. Let p,q and r be any three logical statements. Which one of the follow...

    Text Solution

    |

  17. The truth values of p,q are r for which (p^^q)vv(~r) has truth value F...

    Text Solution

    |

  18. ~[(~p)^^q] is logically equivalent to

    Text Solution

    |

  19. The statement ~(ptoq) is equivalent to

    Text Solution

    |

  20. The statement pto(q to p) is equivalent to

    Text Solution

    |

  21. Statement-1: ~(pharr~q) is equivalent to (pharrq). Statement-2: ~(p...

    Text Solution

    |