English

Write negation of the statement“Everyone who lives in India is an Indian” - Mathematics

Advertisements
Advertisements

Question

Write negation of the statement
“Everyone who lives in India is an Indian”

Sum
Advertisements

Solution

Let p: Everyone who lives in India is an Indian.

The negation of this statement is given by

~ p: It is false that everyone who lives in India is an Indian.

or

~ p: Everyone who lives in India is not an Indian.

shaalaa.com
  Is there an error in this question or solution?
Chapter 14: Mathematical Reasoning - Solved Examples [Page 256]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 11
Chapter 14 Mathematical Reasoning
Solved Examples | Q 5 | Page 256

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Show that the statement “For any real numbers a and ba2 = b2 implies that a = b” is not true by giving a counter-example.


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

 All triangles have three sides.


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

 This sentence is a statement.


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

All real numbers are complex numbers.


Write the negation of the statement:

 Ravish is honest.


 Some even integers are prime.


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


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

 To apply for a driving licence, you should have a ration card or a passport.

 

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


Determine whether the compound statement are true or false:

 Delhi is in India and 2 + 2 = 4.
 


Determine whether the compound statement are true or false:

 Delhi is in England and 2 + 2 = 4.
 


Write the negation of  statement:

For every x ϵ Nx + 3 < 10


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

You can access the website only if you pay a subscription fee.

 


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

 It never rains when it is cold.

 

Check the validity of the statement:

 p : 100 is a multiple of 4 and 5.


Check the validity of the statement:

q : 125 is a multiple of 5 and 7.


 statement are true and false? In each case give a valid reason for saying so

 p : Each radius of a circle is a chord of the circle.


 statement are true and false? In each case give a valid reason for saying so

r : Circle is a particular case of an ellipse.


 statement are true and false? In each case give a valid reason for saying so

 t :  \[\sqrt{11}\]  is a rational number. 

 

 


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.


Write the negation of the following statements:
Suresh lives in Bhopal or he lives in Mumbai.


Write the negation of the following statements:
x + y = y + x and 29 is a prime number.


Rewrite the following statements in the form of conditional statements:

Mohan will be a good student if he studies hard.


Which of the following sentences are statements? Justify

A triangle has three sides.


Find the component statements of the following compound statements.

Chennai is in India and is the capital of Tamil Nadu.


Find the component statements of the following compound statements.

`sqrt(7)` is a rational number or an irrational number.


Write the component statements of the following compound statements and check whether the compound statement is true or false.

2 is an even number and a prime number.


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

|x| is equal to either x or – x.


Rewrite the following statements in the form of conditional statements

You will get a sweet dish after the dinner.


Rewrite the following statements in the form of conditional statements

You will fail, if you will not study.


Identify the Quantifiers in the following statements.

There exists a even prime number other than 2.


The connective in the statement “Earth revolves round the Sun and Moon is a satellite of earth” is ______.


The negation of the statement “Rajesh or Rajni lived in Bangalore” is ______.


Which of the following statement is a conjunction?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×