मराठी

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.

बेरीज
Advertisements

उत्तर

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

There exists

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 14: Mathematical Reasoning - Exercise [पृष्ठ २६४]

APPEARS IN

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

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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.

 Go !


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.

The product of (−1) and 8 is 8.

 

Write the negation of the statement:

 It rained on July 4, 2005.


 Both the diagonals of a rectangle have the same length.


All policemen are thieves.

 

Write the negation of the statement:

q : For every real number x, either x > 1 or x < 1.


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.


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 India and 2 + 2 = 5.


Write the negation of  statement:

For every x ϵ Nx + 3 < 10


Write the negation of  statement:

 There exists x ϵ Nx + 3 = 10

 

Negate  statement:
 All the students completed their homework.


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

 It is necessary to have a passport to log on to the server.


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

 It rains only if it is cold.


 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

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


Identify the component statements and the connective in the following compound statements.

2 is a positive number or a negative number.


Rewrite the following statements in the form of conditional statements:

Ramesh will get dessert only if he eats his dinner.


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°”


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


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


Check the validity of the statements:
s: 60 is a multiple of 3 or 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.


Which of the following sentences are statements? Justify

Every square is a rectangle.


Translate the following statements into symbolic form

Students can take Hindi or English as an optional paper.


Form the biconditional statement p ↔ q, where
p: A natural number n is odd.
q: Natural number n is not divisible by 2.


Identify the Quantifiers in the following statements.

There exists a triangle which is not an isosceles triangle.


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.
q: 131 is a multiple of 3 or 11


Which of the following is not a statement>


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


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


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×