Arts (English Medium) Class 11 - CBSE Question Bank Solutions for Mathematics

Find out the sentence are statement and are not. Justify your answer.

 The real number x is less than 2.

Find out the sentence are statement and are not. Justify your answer.

There are 35 days in a month.

Find out the sentence are statement and are not. Justify your answer.

 Mathematics is difficult.

Find out the sentence are statement and are not. Justify your answer.

All real numbers are complex numbers.

Find out the sentence are statement and are not. Justify your answer.

Give three examples of sentences which are not statements. Give reasons for the answers.

Write the negation of the statement:
Banglore is the capital of Karnataka.

Write the negation of the statement:

 It rained on July 4, 2005.

Write the negation of the statement:

 Ravish is honest.

Write the negation of the statement:

 The earth is round.

Write the negation of the statement:

All birds sing.

 Some even integers are prime.

There is a complex number which is not a real number.

 I will not go to school.

 Both the diagonals of a rectangle have the same length.

Are the pair of statement are negation of each other:
The number x is not a rational number.
The number x is not an irrational number.

Are the pair of statement are negation of each other:

 The number x is not a rational number.
The number x is an irrational number.

Write the negation of the statement:

 p : For every positive real number x, the number (x − 1) is also positive.