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प्रश्न
All policemen are thieves.
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उत्तर
Negation of the given statement:
There exists a policeman who is not a thief.
Or
At least one policeman is not a thief.
संबंधित प्रश्न
Show that the statement
p: “If x is a real number such that x3 + 4x = 0, then x is 0” is true by
(i) direct method
(ii) method of contradiction
(iii) method of contrapositive
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.
This sentence is a statement.
Find out the sentence are statement and are not. Justify your answer.
There are 35 days in a month.
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 x is not an irrational number.
Determine whether the compound statement are true or false:
Delhi is in England and 2 + 2 = 4.
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".
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 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.
Check the validity of the statement:
r : 60 is a multiple of 3 or 5.
statement are true and false? In each case give a valid reason for saying so
r : Circle is a particular case of an ellipse.
Which of the following statements are compound statements
“9 is neither an even number nor a prime number”
Write the negation of the following statements:
p: All triangles are equilateral triangles.
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:
A necessary condition for Indian team to win a cricket match is that the selection committee selects an all-rounder.
Identify the quantifiers and write the negation of the following statements:
There exists a number which is a multiple of 6 and 9.
Write the component statements of the following compound statements and check whether the compound statement is true or false.
All living things have two eyes and two legs.
Translate the following statements into symbolic form
x and y are even integers.
Translate the following statements into symbolic form
A number is either divisible by 2 or 3.
Write down the negation of following compound statements
35 is a prime number or a composite number
Rewrite the following statements in the form of conditional statements
The square of an odd number is odd.
Identify the Quantifiers in the following statements.
For all real numbers x and y, xy = yx.
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 every natural number x, x + 1 is also a natural number.
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 triangle which is not an isosceles triangle.
Which of the following is a statement?
Which of the following is not a statement>
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 ______.
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 ______.
Which of the following is not a negation of “A natural number is greater than zero”?
State whether the following sentences are statements are not.
(i) The angles opposite to equal sides of a triangle are equal.
(ii) The moon is a satellite of earth.
(iii) May God bless you!
(iv) Asia is a continent.
(v) How are you?
