हिंदी

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

Advertisements
Advertisements

प्रश्न

Identify the Quantifiers in the following statements.

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

योग
Advertisements

उत्तर

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

There exists

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Mathematical Reasoning - Exercise [पृष्ठ २६४]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 14 Mathematical Reasoning
Exercise | Q 11.(iii) | पृष्ठ २६४

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

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.

Is the earth round?


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


 Both the diagonals of a rectangle have the same length.


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.


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 negation of  statement:

For every 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". 

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

 


Check the validity of the statement:

 p : 100 is a multiple of 4 and 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.


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 

“Ram and Rahim are friends”


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


Rewrite the following statements in the form of conditional statements:

Mohan will be a good student if he studies hard.


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:
For all even integers x, x2 is also even.


Identify the quantifiers and write the negation of the following statements:
There exists a number which is a multiple of 6 and 9.


Which of the following is a statement?


Find the component statements of the following compound statements.

Number 7 is prime and odd.


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.


Translate the following statements into symbolic form

2, 3 and 6 are factors of 12


Translate the following statements into symbolic form

Either x or x + 1 is an odd integer.


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

|x| is equal to either x or – x.


Rewrite the following statements in the form of conditional statements

The square of an odd number is odd.


Rewrite the following statements in the form of conditional statements

The unit digit of an integer is 0 or 5 if it is divisible by 5.


Identify the Quantifiers in the following statements.

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


Check the validity of the following statement.
p: 125 is divisible by 5 and 7.


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


State whether the following sentences are statements are not.
(i) The angles opposite to equal sides of a triangle are equal.
(ii) The moon is a satellite of earth.
(iii) May God bless you!
(iv) Asia is a continent.
(v) How are you?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×