Home
Class 11
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:
(i) x+y=y+x is true for every real numbers x and y.
(ii) There exists real number x and y for which x+y=y+x

Text Solution

Verified by Experts

The correct Answer is:
is not statement.
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    KUMAR PRAKASHAN|Exercise EXERCISE 14.4|12 Videos
  • MATHEMATICAL REASONING

    KUMAR PRAKASHAN|Exercise EXERCISE 14.5|9 Videos
  • MATHEMATICAL REASONING

    KUMAR PRAKASHAN|Exercise EXERCISE 14.2|10 Videos
  • LIMITS AND DERIVATIVES

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for practice work|35 Videos
  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Sequence and Series (Fill in the blanks )|48 Videos

Similar Questions

Explore conceptually related problems

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.

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 a rational number.

Is the given relation a function? Give reason for your answer. f = {(x, x)|x is a real number}

Is the given relation a function? Give reason for your answer. t= { (x, 3)|x is a real number}

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

Check whether the following pair of linear equations has a unique solution. If yes, find the solution : 8x+y=23, 5x-y=3

State whether the following statements are true or false. Justify your answers. (ii) Every rational number is a real number.