मराठी

Write the Negation of the Statement: the Sun is Cold.

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प्रश्न

Write the negation of the statement:

 The sun is cold.

 
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उत्तर

Negation of the given statement:
The sun is not cold.
Or
It is not true that the sun is cold.

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पाठ 31: Mathematical reasoning - Exercise 31.2 [पृष्ठ ६]

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आर.डी. शर्मा Mathematics [English] Class 11
पाठ 31 Mathematical reasoning
Exercise 31.2 | Q 1.5 | पृष्ठ ६

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


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


Write the negation of the statement:

 Ravish is honest.


All birds sing.


 Some even integers are prime.


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:
 The sky is blue and the grass is green.


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

The sand heats up quickly in the sun and does not cool down fast at night.

 

Determine whether the compound statement are true or false:

 Delhi is in India and 2 + 2 = 4.
 


Write the negation of  statement:

For every x ϵ Nx + 3 < 10


Negate  statement:
 All the students completed their homework.


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

 It is necessary to have a passport to log on to the server.


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

 The game is cancelled only if it is raining.


Check the validity of the statement:

q : 125 is a multiple of 5 and 7.


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

 p : Each radius of a circle is a chord of the circle.


 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.


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.


Translate the following statements in symbolic form

Tigers are found in Gir forest or Rajaji national park.


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


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


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


The negation of the statement “It is raining and weather is cold.” is ______.


Which of the following sentences are statements? Justify

Sky is red.


Find the component statements of the following compound statements.

`sqrt(7)` is a rational number or an irrational number.


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 down the negation of following compound statements

All rational numbers are real and complex.


Write down the negation of following compound statements

All real numbers are rationals or irrationals.


Rewrite the following statements in the form of conditional statements

The square of a prime number is not prime.


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: The unit digit of an integer is zero.
q: It is divisible by 5.


Identify the Quantifiers in the following statements.

For all real numbers x and y, xy = yx.


Identify the Quantifiers in the following statements.

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


The connective in the statement “2 + 7 > 9 or 2 + 7 < 9” is ______.


The negation of the statement “A circle is an ellipse” is ______.


The negation of the statement “7 is greater than 8” is ______.


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


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