English

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

Advertisements
Advertisements

Question

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

Sum
Advertisements

Solution

~ q: 9 is not a multiple of 4.

shaalaa.com
  Is there an error in this question or solution?
Chapter 14: Mathematical Reasoning - Solved Examples [Page 256]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 11
Chapter 14 Mathematical Reasoning
Solved Examples | Q 6.(b) | Page 256

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

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.

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


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

 x2 + 5 | x | + 6 = 0 has no real roots.


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.

 The real number x is less than 2.


Write the negation of the statement:

 The sun is cold.

 

All policemen are thieves.

 

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:
 The sky is blue and the grass is green.


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

 To apply for a driving licence, you should have a ration card or a passport.

 

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.


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 England and 2 + 2 =5.

 

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

 It rains only if it is cold.


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.


 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 

“Ram and Rahim are friends”


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:
r: 100 is a multiple of 4 and 5.


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


Which of the following sentences are statements? Justify

15 + 8 > 23


Find the component statements of the following compound statements.

Chandigarh is the capital of Haryana and U.P.


Write the component statements of the following compound statements and check whether the compound statement is true or false.

2 is an even number and a prime number.


Translate the following statements into symbolic form

Rahul passed in Hindi and English.


Translate the following statements into symbolic form

x and y are even integers.


Write down the negation of following compound statements

All rational numbers are real and complex.


Rewrite the following statements in the form of conditional statements

The square of a prime number is not prime.


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


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


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


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×