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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.

बेरीज

उत्तर

p: Rahul passed in Hindi.

q: Rahul passed in English

p ∧ q: Rahul passed in Hindi and English.

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पाठ 14: Mathematical Reasoning - Exercise [पृष्ठ २६२]

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

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Show that the statement

p: “If x is a real number such that x3 + 4= 0, then x is 0” is true by

(i) direct method

(ii) method of contradiction

(iii) method of contrapositive


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.

Two non-empty sets have always a non-empty intersection.


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

 Are all circles round?


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.

 Go !


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:

 The sun is cold.

 

 Both the diagonals of a rectangle have the same length.


Determine whether the compound statement are true or false: 

 Delhi is in India and 2 + 2 = 5.


Negate  statement:
 All the students completed their homework.


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

 It is necessary to be rich in order to be happy.


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

 The game is cancelled only if it is raining.


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

 Whenever it rains it is cold.


 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”


Which of the following statements are compound statements 

“9 is neither an even number nor a prime number”


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


Which of the following is a statement?


Find the component statements of the following compound statements.

The number 100 is divisible by 3, 11 and 5.


Find the component statements of the following compound statements.

Two lines in a plane either intersect at one point or they are parallel.


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.

All living things have two eyes and two legs.


Translate the following statements into symbolic form

2, 3 and 6 are factors of 12


Rewrite the following statements in the form of conditional statements

The square of an odd number is odd.


Identify the Quantifiers in the following statements.

For every natural number x, x + 1 is also a natural number.


Identify the Quantifiers in the following statements.

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


Identify the Quantifiers in the following statements.

There exists a even prime number other than 2.


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


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