English

The negation of the statement “7 is greater than 8” is ______.

Advertisements
Advertisements

Question

The negation of the statement “7 is greater than 8” is ______.

Options

  • 7 is equal to 8

  • 7 is not greater than 8

  • 8 is less than 7

  • None of these

MCQ
Fill in the Blanks
Advertisements

Solution

The negation of the statement “7 is greater than 8” is 7 is not greater than 8.

Explanation:

Let p: 7 is greater than 8.

∴ ~ p: 7 is not greater than 8.

shaalaa.com
  Is there an error in this question or solution?
Chapter 14: Mathematical Reasoning - Exercise [Page 266]

APPEARS IN

NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 14 Mathematical Reasoning
Exercise | Q 22 | Page 266

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Show that the statement “For any real numbers a and b, a2 = b2 implies that a = b” is not true by giving a counter-example.


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

The cat pussy is black.


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.

Is the earth round?


Write the negation of the statement:

 Ravish is honest.


 Some even integers are prime.


 I will not go to school.


 Both the diagonals of a rectangle have the same length.


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.


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.

 

Determine whether the compound statement are true or false:

 Delhi is in India and 2 + 2 = 4.
 


Write the negation of  statement:

 There exists x ϵ N, x + 3 = 10

 

Negate  statement:
 All the students completed their homework.


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

 It is necessary to have a passport to log on to the server.


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

 t :  \[\sqrt{11}\]  is a rational number. 

 

 


Which of the following statements are compound statements 

“Ram and Rahim are friends”


Rewrite the following statements in the form of conditional statements:

Ramesh will get dessert only if he eats his dinner.


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


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


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


The negation of the statement “It is raining and weather is cold.” is ______.


Which of the following sentences are statements? Justify

0 is a complex number.


Which of the following sentences are statements? Justify

15 + 8 > 23


Which of the following sentences are statements? Justify

y + 9 = 7.


Which of the following sentences are statements? Justify

sin2x + cos2x = 0


Find the component statements of the following compound statements.

`sqrt(7)` is a rational number or an irrational number.


Find the component statements of the following compound statements.

Two lines in a plane either intersect at one point or they are parallel.


Rewrite the following statements in the form of conditional statements

The square of an odd number is odd.


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


Identify the Quantifiers in the following statements.

For all real numbers x with x > 3, x 2 is greater than 9.


Identify the Quantifiers in the following statements.

There exists a even prime number other than 2.


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 “101 is not a multiple of 3” is ______.


Which of the following is the conditional p → q?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×