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

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प्रश्न

Translate the following statements into symbolic form

Rahul passed in Hindi and English.

योग

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

By giving a counter example, show that the following statements are not true.

q: The equation x2 – 1 = 0 does not have a root lying between 0 and 2.


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.

All real numbers are complex numbers.


Write the negation of the statement:

 Ravish is honest.


Write the negation of the statement:

 The earth is round.


All policemen are thieves.

 

Are the pair of statement are negation of each other:

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


Find the component statement of the compound statement:

The earth is round or the sun is cold.


Write the component statement of the compound statement and check whether the compound statement is true or false:

 x = 2 and x = 3 are the roots or the equation 3x2 − x − 10 = 0.


Determine whether the compound statement are true or false: 

 Delhi is in India and 2 + 2 = 5.


Determine whether the compound statement are true or false: 

Delhi is in England and 2 + 2 =5.

 

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

There is traffic jam whenever it rains.


Check the validity of the statement:

 p : 100 is a multiple of 4 and 5.


Check the validity of the statement:

q : 125 is a multiple of 5 and 7.


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.


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

It is raining or the sun is shining.


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.


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


Which of the following sentences are statements? Justify

A triangle has three sides.


Which of the following sentences are statements? Justify

Where is your bag?


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

A number is either divisible by 2 or 3.


Write down the negation of following compound statements

All rational numbers are real and complex.


Write down the negation of following compound statements

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


Rewrite the following statements in the form of conditional statements

You will get a sweet dish after the dinner.


Identify the Quantifiers in the following statements.

For all real numbers x with x > 3, x 2 is greater than 9.


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.


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


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