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प्रश्न
Write of the statement in the form "if p, then q".
It rains only if it is cold.
उत्तर
If it rains, then it is cold.
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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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Every set is a finite set.
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.
Are all circles round?
Find out the sentence are statement and are not. Justify your answer.
The real number x is less than 2.
Find out the sentence are statement and are not. Justify your answer.
Mathematics is difficult.
Give three examples of sentences which are not statements. Give reasons for the answers.
All policemen are thieves.
Write the negation of the statement:
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Write the negation of the statement:
r : There exists a number x such that 0 < x < 1.
Write the component statement of the compound statement and check whether the compound statement is true or false:
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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 = 4.
Write of the statement in the form "if p, then q".
There is traffic jam whenever it rains.
Write of the statement in the form "if p, then q".
Whenever it rains it is cold.
Write of the statement in the form "if p, then q".
It never rains when it is cold.
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statement are true and false? In each case give a valid reason for saying so
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Write the truth value of the following statements.
(i) 9 is an even integer or 9 + 1 is even.
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(iii) Delhi is the capital of India and Islamabad is the capital of Pakistan.
(iv) Every rectangle is a square and every square is a rectangle
(v) The sun is a star or sun is a planet.
Write the negation of the following statements:
q: 9 is a multiple of 4.
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x and y are even integers.
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Either x = 2 or x = 3 is a root of 3x 2 – x – 10 = 0
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A triangle has either 3-sides or 4-sides.
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p: A natural number n is odd.
q: Natural number n is not divisible by 2.
Check the validity of the following statement.
q: 131 is a multiple of 3 or 11
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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.
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(iv) Asia is a continent.
(v) How are you?
