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Translate the following statements into symbolic form Rahul passed in Hindi and English.

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प्रश्न

Translate the following statements into symbolic form

Rahul passed in Hindi and English.

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उत्तर

p: Rahul passed in Hindi.

q: Rahul passed in English

p ∧ q: Rahul passed in Hindi and English.

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अध्याय 14: Mathematical Reasoning - Exercise [पृष्ठ २६२]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 14 Mathematical Reasoning
Exercise | Q 5.(i) | पृष्ठ २६२

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Show that the following statement is true by the method of contrapositive.

pIf x is an integer and x2 is even, then x is also even.


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.

 This sentence is a statement.


Write the negation of the statement:

 Ravish is honest.


All birds sing.


All policemen are thieves.

 

Write the negation of the statement:

 p : For every positive real number x, the number (x − 1) is also positive.

 


Write the negation of the statement:

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


Find the component statement of the compound statement:

All rational numbers are real and all real numbers are complex.


Determine whether the compound statement are true or false: 

Delhi is in England 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". 

There is traffic jam whenever it rains.


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

q : The centre of a circle bisects each chord of the circle.


 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”


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

2 is a positive number or a negative number.


Write the truth value of the following statements.
(i) 9 is an even integer or 9 + 1 is even.
(ii) 2 + 4 = 6 or 2 + 4 = 7
(iii) Delhi is the capital of India and Islamabad is the capital of Pakistan.
(iv) Every rectangle is a square and every square is a rectangle
(v) The sun is a star or sun is a planet.


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


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 sentences are statements? Justify

Where is your bag?


Which of the following sentences are statements? Justify

Every square is a rectangle.


Find the component statements of the following compound statements.

Number 7 is prime and odd.


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.


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

All living things have two eyes and two legs.


Write down the negation of following compound statements

All rational numbers are real and complex.


Write down the negation of following compound statements

All prime integers are either even or odd.


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


Check the validity of the following statement.
q: 131 is a multiple of 3 or 11


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 “Plants take in CO2 and give out O2 ” is ______.


Which of the following is not a negation of “A natural number is greater than zero”?


Which of the following statement is a conjunction?


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