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प्रश्न
Find out the sentence are statement and are not. Justify your answer.
Two non-empty sets have always a non-empty intersection.
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उत्तर
Two non-empty sets have always a non-empty intersection.
It is a false assertive sentence. Two non-empty sets with no common elements can have an empty intersection. Therefore, it is a statement.
संबंधित प्रश्न
By giving a counter example, show that the following statements are not true.
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All triangles have three sides.
Find out the sentence are statement and are not. Justify your answer.
All real numbers are complex numbers.
Write the negation of the statement:
Banglore is the capital of Karnataka.
Write the negation of the statement:
Ravish is honest.
I will not go to school.
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The number x is not a rational number.
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p : For every positive real number x, the number (x − 1) is also positive.
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Delhi is in India and 2 + 2 = 5.
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Delhi is in England and 2 + 2 =5.
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All the students completed their homework.
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There exists a number which is equal to its square.
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It rains only if it is cold.
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Check the validity of the statement:
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Translate the following statements in symbolic form:
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Either x or x + 1 is an odd integer.
Identify the Quantifiers in the following statements.
There exists a triangle which is not an isosceles triangle.
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There exists a even prime number other than 2.
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