English

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. - Mathematics

Advertisements
Advertisements

Question

Are the pair of statement are negation of each other:

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

Advertisements

Solution

The number x is not a rational number.
The number is an irrational number.​
The statements in this pair are not the negation of each other because both statements are the same. Both the statements convey that x is an irrational number.

shaalaa.com
  Is there an error in this question or solution?
Chapter 31: Mathematical reasoning - Exercise 31.2 [Page 7]

APPEARS IN

RD Sharma Mathematics [English] Class 11
Chapter 31 Mathematical reasoning
Exercise 31.2 | Q 3.2 | Page 7

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

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

The cat pussy is black.


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

 Are all circles round?


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

Every rhombus is a square.


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

 Go !


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.


All birds sing.


 Both the diagonals of a rectangle have the same length.


All policemen are thieves.

 

Determine whether the compound statement are true or false: 

 Delhi is in India and 2 + 2 = 5.


Write the negation of  statement:

 There exists 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.

 

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 

“9 is neither an even number nor a prime number”


Write the negation of the following statements:
r: A triangle has four sides.


Translate the following statements in symbolic form:
If x = 7 and y = 4” then x + y = 11.


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


Translate the following biconditional into symbolic form:
“ABC is an equilateral triangle if and only if its each interior angle is 60°”


Check the validity of the statements:
r: 100 is a multiple of 4 and 5.


Which of the following is a statement?


Which of the following sentences are statements? Justify

15 + 8 > 23


Which of the following sentences are statements? Justify

y + 9 = 7.


Find the component statements of the following compound statements.

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


Find the component statements of the following compound statements.

A rectangle is a quadrilateral or a 5-sided polygon.


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

57 is divisible by 2 or 3.


Rewrite the following statements in the form of conditional statements

You will fail, if you will not study.


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.

For all negative integers x, x 3 is also a negative integers.


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 “72 is divisible by 2 and 3” is ______.


The negation of the statement “Plants take in CO2 and give out O2 ” is ______.


The negation of the statement “101 is not a multiple of 3” is ______.


Which of the following is the conditional p → q?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×