मराठी

Write of the Statement in the Form "If P, Then Q". the Game is Cancelled Only If It is Raining.

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प्रश्न

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

 The game is cancelled only if it is raining.

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उत्तर

 If it rains, only then the game is cancelled.

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

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आर.डी. शर्मा Mathematics [English] Class 11
पाठ 31 Mathematical reasoning
Exercise 31.5 | Q 1.5 | पृष्ठ २१

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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.


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.

 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.

There are 35 days in a month.


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


Write the negation of the statement:

 It rained on July 4, 2005.


Write the negation of the statement:

 Ravish is honest.


Write the negation of the statement:

 The sun is cold.

 

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


Write the negation of the statement:

q : For every real number x, either x > 1 or x < 1.


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

A lady gives birth to a baby boy or a baby girl.


Determine whether the compound statement are true or false:

 Delhi is in India and 2 + 2 = 4.
 


Determine whether the compound statement are true or false: 

 Delhi is in India and 2 + 2 = 5.


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

 Whenever it rains it is cold.


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


Determine whether the argument used to check the validity of the following statement is correct:
p : "If x2 is irrational, then x is rational"
The statement is true because the number x2 = π2 is irrational, therefore x = π is irrational.


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


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2 is a positive number or a negative number.


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


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x + y = y + x and 29 is a prime number.


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Ramesh will get dessert only if he eats his dinner.


Rewrite the following statements in the form of conditional statements:

When you sing, my ears hurt.


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


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There exists a number which is a multiple of 6 and 9.


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r: 100 is a multiple of 4 and 5.


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A triangle has three sides.


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Plants use sunlight, water and carbon dioxide for photosynthesis.


Rewrite the following statements in the form of conditional statements

The square of an odd number is odd.


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


Identify the Quantifiers in the following statements.

There exists a triangle which is not an isosceles triangle.


Identify the Quantifiers in the following statements.

There exists a even prime number other than 2.


Identify the Quantifiers in the following statements.

There exists a real number x such that x2 + 1 = 0.


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


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


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