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 not an irrational 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 TELUGU|Exercise EXERCISE 14.3|11 Videos

  • MATHEMATICAL REASONING

    NCERT TELUGU|Exercise EXERCISE 14.4|12 Videos

  • MATHEMATICAL REASONING

    NCERT TELUGU|Exercise EXERCISE 14.1|11 Videos

  • LINEAR INEQUALITIES

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

  • PERMUTATIONS AND COMBINATIONS

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

Similar Questions

Explore conceptually related problems

Which of the following is not a rational number ?

Identify the type of ''Or'' used in the following statements and check whether the statements are true or false: sqrt2 is a rational number or an irrational number

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.

Which of the following is not a rational number?

Which of the following is an irrational number?

Which of the following is a rational number ?

The intersection of set of rational number and set of irrational numbers is …………………

If 'x' is an irrational number then x + 2 is _____ number.

If 'x' is an irrational number then x - 3 is _____ number.

State whether the following statements are true or false . Justify your answers . (i) Every irrational number is a real number . (ii) Every rational number is a real number . (iii) Every real number need not be a rational number (iv) sqrt(n) is not irrational if n is a perfect square .