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प्रश्न
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?
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उत्तर
(i) It is a statement.
(ii) It is a statement,
(iii) It is not a statement, since it is an exclamations.
(iv) It is a statement.
(v) It is not a statement, since it is a question.
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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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There are 35 days in a month.
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Mathematics is difficult.
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The sun is cold.
All policemen are thieves.
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The number x is not a rational number.
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The number x is not a rational number.
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The earth is round or the sun is cold.
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25 is a multiple of 5 and 8.
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There exists x ϵ N, x + 3 = 10
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The game is cancelled only if it is raining.
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
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2 and 3 are prime numbers
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A necessary condition for Indian team to win a cricket match is that the selection committee selects an all-rounder.
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p: Today is 14th of August
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For all even integers x, x2 is also even.
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Chennai is in India and is the capital of Tamil Nadu.
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`sqrt(7)` is a rational number or an irrational number.
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.
Write down the negation of following compound statements
All rational numbers are real and complex.
Write down the negation of following compound statements
35 is a prime number or a composite number
Identify the Quantifiers in the following statements.
There exists a triangle which is not equilateral.
Identify the Quantifiers in the following statements.
There exists a real number x such that x2 + 1 = 0.
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