हिंदी

Express in English, the statement p → q, wherep: It is raining todayq: 2 + 3 > 4

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प्रश्न

Express in English, the statement p → q, where
p: It is raining today
q: 2 + 3 > 4

योग
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उत्तर

The conditional statement is

“If it is raining today, then 2 + 3 > 4”

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अध्याय 14: Mathematical Reasoning - Solved Examples [पृष्ठ २५९]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
अध्याय 14 Mathematical Reasoning
Solved Examples | Q 9 | पृष्ठ २५९

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

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

 Every set is a finite set.


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.

Is the earth round?


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

 The real number x is less than 2.


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

All real numbers are complex numbers.


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

The product of (−1) and 8 is 8.

 

Give three examples of sentences which are not statements. Give reasons for the answers.


Write the negation of the statement:

 Ravish is honest.


Write the negation of the statement:

 The earth is round.


 Some even integers are prime.


 I will not go to school.


Write the negation of the statement:

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

 


Find the component statement of the compound statement:

The earth is round or the sun is cold.


Find the component statement of the compound statement:

 25 is a multiple of 5 and 8.

 

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.


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

 To enter into a public library children need an identity card from the school or a letter from the school authorities.


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

There is traffic jam whenever it rains.


Which of the following statements are compound statements 

“2 is both an even number and a prime number”


Write the negation of the following statements:
q: 9 is a multiple of 4.


Write the negation of the following statements:
Suresh lives in Bhopal or he lives in Mumbai.


Write the negation of the following statements:
x + y = y + x and 29 is a prime number.


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


Translate the following statements into symbolic form

A number is either divisible by 2 or 3.


Translate the following statements into symbolic form

Either x = 2 or x = 3 is a root of 3x 2 – x – 10 = 0


Translate the following statements into symbolic form

Students can take Hindi or English as an optional paper.


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|x| is equal to either x or – x.


Rewrite the following statements in the form of conditional statements

2b = a + c, if a, b and c are in A.P.


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


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


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.

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


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


Which of the following is a statement?


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


The negation of the statement “The product of 3 and 4 is 9” 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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