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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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प्रश्न

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

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उत्तर

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संबंधित प्रश्न

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

p: If all the angles of a triangle are equal, then the triangle is an obtuse angled triangle.


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.

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


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

All real numbers are complex numbers.


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


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 The sun is cold.

 

 Both the diagonals of a rectangle have the same length.


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


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For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.

 To entry a country, you need a passport or a voter registration card.


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.


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 Delhi is in India and 2 + 2 = 4.
 


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". 

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

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


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It is raining or the sun is shining.


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Tigers are found in Gir forest or Rajaji national park.


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p: All triangles are equilateral triangles.


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


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p: Today is 14th of August
q: Tomorrow is Independence day


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15 + 8 > 23


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sin2x + cos2x = 0


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x and y are even integers.


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2, 3 and 6 are factors of 12


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


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|x| is equal to either x or – x.


Rewrite the following statements in the form of conditional statements

The square of a prime number is not prime.


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p: A natural number n is odd.
q: Natural number n is not divisible by 2.


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There exists a triangle which is not equilateral.


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


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


Which of the following statement is a conjunction?


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