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प्रश्न
Which of the following statements are compound statements
“2 is both an even number and a prime number”
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उत्तर
The given statement can be broken into two simple statements “2 is an even number” and “2 is a prime number” and connected by the connective ‘and’
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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
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.
By giving a counter example, show that the following statements are not true.
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Find out the sentence are statement and are not. Justify your answer.
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Find out the sentence are statement and are not. Justify your answer.
Is the earth round?
Find out the sentence are statement and are not. Justify your answer.
Go !
Find out the sentence are statement and are not. Justify your answer.
There are 35 days in a month.
Find out the sentence are statement and are not. Justify your answer.
Mathematics is difficult.
Find out the sentence are statement and are not. Justify your answer.
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There is a complex number which is not a real number.
I will not go to school.
For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.
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If x = 7 and y = 4” then x + y = 11.
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p: Today is 14th of August
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0 is a complex number.
Which of the following sentences are statements? Justify
15 + 8 > 23
Which of the following sentences are statements? Justify
Every square is a rectangle.
Find the component statements of the following compound statements.
Chennai is in India and is the capital of Tamil Nadu.
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Plants use sunlight, water and carbon dioxide for photosynthesis.
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
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You will fail, if you will not study.
Rewrite the following statements in the form of conditional statements
The unit digit of an integer is 0 or 5 if it is divisible by 5.
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p: A triangle is an equilateral triangle.
q: All three sides of a triangle are equal.
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For all negative integers x, x 3 is also a negative integers.
Identify the Quantifiers in the following statements.
There exists a even prime number other than 2.
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