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प्रश्न
Negate statement:
All the students completed their homework.
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उत्तर
Negation of the given statement:
Some students did not complete their homework.
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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
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Two non-empty sets have always a non-empty intersection.
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Find out the sentence are statement and are not. Justify your answer.
This sentence is a statement.
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Is the earth round?
Find out the sentence are statement and are not. Justify your answer.
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Ravish is honest.
All policemen are thieves.
Check whether the following pair of statements are negation of each other. Give reasons for your answer.
a + b = b + a is true for every real number a and b.
There exist real numbers a and b for which a + b = b + a.
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.
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.
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Delhi is in England and 2 + 2 =5.
Write the negation of statement:
There exists x ϵ N, x + 3 = 10
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It never rains when it is cold.
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2 and 3 are prime numbers
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r: A triangle has four sides.
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Suresh lives in Bhopal or he lives in Mumbai.
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For all even integers x, x2 is also even.
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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.
Which of the following sentences are statements? Justify
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Number 7 is prime and odd.
Find the component statements of the following compound statements.
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2 is an even number and a prime number.
Translate the following statements into symbolic form
2, 3 and 6 are factors of 12
Translate the following statements into symbolic form
Either x or x + 1 is an odd integer.
Translate the following statements into symbolic form
A number is either divisible by 2 or 3.
Write down the negation of following compound statements
x = 2 and x = 3 are roots of the Quadratic equation x2 – 5x + 6 = 0.
Write down the negation of following compound statements
6 is divisible by 2 and 3.
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The square of a prime number is not prime.
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p: A natural number n is odd.
q: Natural number n is not divisible by 2.
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There exists a statement in above statements which is not true.
Identify the Quantifiers in the following statements.
There exists a even prime number other than 2.
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