English

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

Advertisements
Advertisements

Question

Identify the Quantifiers in the following statements.

There exists a real number which is not a rational number.

Sum
Advertisements

Solution

Quantifier means a phrase like ‘there exists’, ‘for all’ and ‘for every’ etc.

There exists

shaalaa.com
  Is there an error in this question or solution?
Chapter 14: Mathematical Reasoning - Exercise [Page 264]

APPEARS IN

NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 14 Mathematical Reasoning
Exercise | Q 11.(iii) | Page 264

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

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

Is the earth round?


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.


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


Write the negation of the statement:

 It rained on July 4, 2005.


 Some even integers are prime.


 I will not go to school.


Find the component statement of the compound statement:

All rational numbers are real and all real numbers are complex.


Find the component statement of the compound statement:

 25 is a multiple of 5 and 8.

 

For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.

 Students can take Hindi or Sanskrit as their third language.


For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.

A lady gives birth to a baby boy or a baby girl.


Write the component statement of the compound statement and check whether the compound statement is true or false:

 Square of an integer is positive or negative.i


Write the negation of  statement:

 There exists x ϵ Nx + 3 = 10

 

Negate of the  statement :

There exists a number which is equal to its square.

 

 


Write of the statement in the form "if p, then q". 

 Whenever it rains it is cold.


Write of the statement in the form "if p, then q". 

 It never rains when it is cold.

 

Determine whether the argument used to check the validity of the following statement is correct:
p : "If x2 is irrational, then x is rational"
The statement is true because the number x2 = π2 is irrational, therefore x = π is irrational.


Which of the following statements are compound statements 

“2 is both an even number and a prime number”


Write the negation of the following statements:
p: All triangles are equilateral triangles.


Rewrite the following statements in the form of conditional statements:

Mohan will be a good student if he studies hard.


Rewrite the following statements in the form of conditional statements:

A necessary condition for Indian team to win a cricket match is that the selection committee selects an all-rounder.


Rewrite the following statements in the form of conditional statements:

A sufficient condition for Tara to visit New Delhi is that she goes to the Rashtrapati Bhawan.


Express in English, the statement p → q, where
p: It is raining today
q: 2 + 3 > 4


Identify the quantifiers and write the negation of the following statements:
There exists a number which is equal to its square.


Which of the following sentences are statements? Justify

0 is a complex number.


Write down the negation of following compound statements

x = 2 and x = 3 are roots of the Quadratic equation x2 – 5x + 6 = 0.


Write down the negation of following compound statements

35 is a prime number or a composite number


Write down the negation of following compound statements

6 is divisible by 2 and 3.


Rewrite the following statements in the form of conditional statements

The square of an odd number is odd.


Form the biconditional statement p ↔ q, where
p: The unit digit of an integer is zero.
q: It is divisible by 5.


Identify the Quantifiers in the following statements.

There exists a triangle which is not equilateral.


Identify the Quantifiers in the following statements.

For every natural number x, x + 1 is also a natural number.


Identify the Quantifiers in the following statements.

There exists a triangle which is not an isosceles triangle.


Which of the following is a statement?


Which of the following is not a statement>


The connective in the statement “2 + 7 > 9 or 2 + 7 < 9” is ______.


The negation of the statement “A circle is an ellipse” is ______.


The negation of the statement “72 is divisible by 2 and 3” is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×