Home
Class 11
MATHS
Are the following pairs of statements ne...

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.

Text Solution

Verified by Experts

The correct Answer is:
The negation of the first statement is ''the number x is a rational number.'' which is the same as the second statement” This is because when a number is not irrational, it is a rational. Therefore, the given pairs are negations of each other.
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    NCERT GUJARATI|Exercise EXERCISE 14.3|11 Videos

  • MATHEMATICAL REASONING

    NCERT GUJARATI|Exercise EXERCISE 14.4|12 Videos

  • MATHEMATICAL REASONING

    NCERT GUJARATI|Exercise EXERCISE 14.1|11 Videos

  • LINEAR INEQUALITIES

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

  • PERMUTATIONS AND COMBINATIONS

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 7|11 Videos

Similar Questions

Explore conceptually related problems

pi is a rational number.

sqrt(2) + sqrt(2) is a rational number.

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

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.

Prove that there is no rational number whose square is 6.

Identify the type of Or used in the following statements and check whether the statements are true or false: sqrt(2) is a rational number or an irrational number.

Are the following statements True? Give reasons for your answers with an example. Zero is a rational number

Identify the Quantifiers in the following statements: There exists a real number which is not a rational number.