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Write of the Statement in the Form "If P, Then Q". You Can Access the Website Only If You Pay a Subscription Fee.

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

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अध्याय 31: Mathematical reasoning - Exercise 31.5 [पृष्ठ २१]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 31 Mathematical reasoning
Exercise 31.5 | Q 1.1 | पृष्ठ २१

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

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.

 x2 + 5 | x | + 6 = 0 has no real roots.


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.

 Mathematics is difficult.


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

All real numbers are complex numbers.


Write the negation of the statement:

 The earth is round.


Write the negation of the statement:

 The sun is cold.

 

There is a complex number which is not a real number.


Are the pair of statement are negation of each other:
The number is not a rational number.
The number x is not an irrational number.


Write the negation of the statement:

r : There exists a number x such that 0 < x < 1.

 

Find the component statement of the compound statement:
 The sky is blue and the grass is green.


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.

 

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

All rational numbers are real and all real numbers are not complex.


Negate of the  statement :

There exists a number which is equal to its square.

 

 


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

 It rains only if it is cold.


Check the validity of the statement:

q : 125 is a multiple of 5 and 7.


Check the validity of the statement:

 r : 60 is a multiple of 3 or 5.

 

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

 t :  \[\sqrt{11}\]  is a rational number. 

 

 


Translate the following statements in symbolic form

2 and 3 are prime numbers 


Write the negation of the following statements:
p: All triangles are equilateral triangles.


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


Rewrite the following statements in the form of conditional statements:

A necessary condition for Indian team to win a cricket match is that the selection committee selects an all-rounder.


Which of the following sentences are statements? Justify

15 + 8 > 23


Which of the following sentences are statements? Justify

Every square is a rectangle.


Find the component statements of the following compound statements.

Chandigarh is the capital of Haryana and U.P.


Find the component statements of the following compound statements.

Plants use sunlight, water and carbon dioxide for photosynthesis.


Find the component statements of the following compound statements.

A rectangle is a quadrilateral or a 5-sided polygon.


Write down the negation of following compound statements

6 is divisible by 2 and 3.


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


Which of the following is a statement?


The negation of the statement “Rajesh or Rajni lived in Bangalore” is ______.


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


Which of the following is the conditional p → q?


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