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Rewrite the following statements in the form of conditional statements You will fail, if you will not study. - Mathematics

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प्रश्न

Rewrite the following statements in the form of conditional statements

You will fail, if you will not study.

योग
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उत्तर

p only if q ⇒ If you do not study, then you will fail.

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अध्याय 14: Mathematical Reasoning - Exercise [पृष्ठ २६३]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 14 Mathematical Reasoning
Exercise | Q 7.(iii) | पृष्ठ २६३

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

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

The product of (−1) and 8 is 8.

 

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Write the negation of the statement:

 Ravish is honest.


Write the negation of the statement:

 The sun is cold.

 

Are the pair of statement are negation of each other:

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


Find the component statement of the compound statement:

All rational numbers are real and all real numbers are complex.


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 England and 2 + 2 = 4.
 


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". 

 It never rains when it is cold.

 

 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.


Which of the following statements are compound statements 

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


Translate the following statements in symbolic form

2 and 3 are prime numbers 


Translate the following statements in symbolic form

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


Rewrite the following statements in the form of conditional statements:

When you sing, my ears hurt.


Identify the quantifiers and write the negation of the following statements:
There exists a number which is equal to its square.


Identify the quantifiers and write the negation of the following statements:
For all even integers x, x2 is also even.


Identify the quantifiers and write the negation of the following statements:
There exists a number which is a multiple of 6 and 9.


Check the validity of the statements:
s: 60 is a multiple of 3 or 5.


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Sky is red.


Which of the following sentences are statements? Justify

Every set is an infinite set.


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Every square is a rectangle.


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24 is a multiple of 4 and 6.


Translate the following statements into symbolic form

Rahul passed in Hindi and English.


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Translate the following statements into symbolic form

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


Form the biconditional statement p ↔ q, where
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q: All three sides of a triangle are equal.


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 real number x such that x2 + 1 = 0.


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


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


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