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 numbers x and y for which `x + y = y +

Text Solution

Verified by Experts

Negation of first statement : there exists real number for which `x+y=y+x` is not true. It is different form other statement. So, the given statements are not the negation of each other.
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    NAGEEN PRAKASHAN|Exercise Exercise 14.4|4 Videos

  • MATHEMATICAL REASONING

    NAGEEN PRAKASHAN|Exercise Exercise 14.5|5 Videos

  • MATHEMATICAL REASONING

    NAGEEN PRAKASHAN|Exercise Exercise 14.2|3 Videos

  • LINEAR INEQUALITIES

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|14 Videos

  • PERMUTATION AND COMBINATION

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|11 Videos

Similar Questions

Explore conceptually related problems

Check whether the following pair of statements are negation of each other.Given reasons for your answer: a+b=b+a is true for every real number a and b .There exist real numbers a and b for which a+b=b+a

Are that following pair of statements negation of each other? (i) The relation xy=yx is true for every real number x and y . . (ii) There exists real number x and y for which the relation xy=yx is not true .

p : xy =yx , is true for every real number x and y q : There exists real number x and y for which xy=yx is not true. above pair of statement are

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

If x and y are positive real number, then :

Check whether the following statement are true or not: p: If x and y are odd integers, then x+y is an even integer.

For any positive real number x , prove that there exists an irrational number y such that 0 lt y lt x .

Write the negation of each of the following statements: For every real number x,x+0=x=0+x For every real number,x,x is less than x+1