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 TAMIL|Exercise EXERCISE 14.3|11 Videos

  • MATHEMATICAL REASONING

    NCERT TAMIL|Exercise EXERCISE 14.4|12 Videos

  • MATHEMATICAL REASONING

    NCERT TAMIL|Exercise EXERCISE 14.1|11 Videos

  • LINEAR INEQUALITIES

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

  • MATRICES AND DETERMINANTS

    NCERT TAMIL|Exercise EXERCISE 7.5|25 Videos

Similar Questions

Explore conceptually related problems

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

Prove that number (log)_2 7 is an irrational number.

Represent sqrt3 irrational numbers on the number line.

Which of the following is not an irrational 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 one of the following is not a rational number ?

Which one of the following is an irrational number ?

Give one example each to the following statements. iv. A number which is natural number, whole number, integer and rational number.

Find the component statements of the following and check whether they are true or not. sqrt2 is a rational number or an irrational number.