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.

 This sentence is a statement.


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


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


 I will not go to school.


All policemen are thieves.

 

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


Write the negation of the statement:

r : There exists a number x such that 0 < x < 1.

 

Check whether the following pair of statements are negation of each other. Give reasons for your answer.
a + b = b + a is true for every real number a and b.
 There exist real numbers a and b for which a + b = b + a.


Find the component statement of the compound statement:

The earth is round or the sun is cold.


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


Determine whether the compound statement are true or false:

 Delhi is in India and 2 + 2 = 4.
 


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

 The game is cancelled only if it is raining.


Check the validity of the statement:

 r : 60 is a multiple of 3 or 5.

 

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

 s : If x and y are integers such that x > y, then − x < − y.


Which of the following statements are compound statements 

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


Translate the following statements in symbolic form

2 and 3 are prime numbers 


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


Form the biconditional of the following statements :
p: Today is 14th of August
q: Tomorrow is Independence day


The negation of the statement “It is raining and weather is cold.” is ______.


Which of the following sentences are statements? Justify

A triangle has three sides.


Which of the following sentences are statements? Justify

0 is a complex number.


Which of the following sentences are statements? Justify

Where is your bag?


Find the component statements of the following compound statements.

Number 7 is prime and odd.


Find the component statements of the following compound statements.

The number 100 is divisible by 3, 11 and 5.


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

24 is a multiple of 4 and 6.


Translate the following statements into symbolic form

Either x or x + 1 is an odd integer.


Write down the negation of following compound statements

A triangle has either 3-sides or 4-sides.


Write down the negation of following compound statements

|x| is equal to either x or – x.


Form the biconditional statement p ↔ q, where
p: A triangle is an equilateral triangle.
q: All three sides of a triangle are equal.


Identify the Quantifiers in the following statements.

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


Identify the Quantifiers in the following statements.

There exists a even prime number other than 2.


Identify the Quantifiers in the following statements.

There exists a real number x such that x2 + 1 = 0.


Which of the following is a statement?


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


Which of the following is the conditional p → q?


Which of the following statement is a conjunction?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×