हिंदी

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

Advertisements
Advertisements

प्रश्न

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

योग
Advertisements

उत्तर

Let p: Suresh lives in Bhopal

And q: Suresh lives in Mumbai

Then the disjunction in (i) is given by p ∨ q.

Now ~ p: Suresh does not live in Bhopal.

~ q: Suresh does not live in Mumbai.

Therefore, using (D8), negation of p ∨ q is given by

~ ( p ∨ q ): Suresh does not live in Bhopal and he does not live in Mumbai.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Mathematical Reasoning - Solved Examples [पृष्ठ २५७]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
अध्याय 14 Mathematical Reasoning
Solved Examples | Q 7.(i) | पृष्ठ २५७

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Find out the following  sentence is a statement and is not. Justify your answer.

Listen to me, Ravi !


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.

 Go !


Write the negation of the statement:

 Ravish is honest.


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


 I will not go to school.


 Both the diagonals of a rectangle have the same length.


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


Write the negation of the statement:

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


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:

 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:

 To enter into a public library children need an identity card from the school or a letter from the school authorities.


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.

 

Negate  statement:
 All the students completed their homework.


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". 

 Whenever it rains it is cold.


Check the validity of the statement:

q : 125 is a multiple of 5 and 7.


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.

It is raining or the sun is shining.


Translate the following statements in symbolic form

2 and 3 are prime numbers 


Rewrite the following statements in the form of conditional statements:

When you sing, my ears hurt.


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


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


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


Which of the following is a statement?


Which of the following sentences are statements? Justify

A triangle has three sides.


Which of the following sentences are statements? Justify

sin2x + cos2x = 0


Find the component statements of the following compound statements.

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


Translate the following statements into symbolic form

A number is either divisible by 2 or 3.


Write down the negation of following compound statements

6 is divisible by 2 and 3.


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: A triangle is an equilateral triangle.
q: All three sides of a triangle are equal.


Identify the Quantifiers in the following statements.

There exists a real number which is not a rational number.


Identify the Quantifiers in the following statements.

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


Check the validity of the following statement.
p: 125 is divisible by 5 and 7.


Which of the following is a statement?


The negation of the statement “72 is divisible by 2 and 3” is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×