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Find Out the Sentence Are Statement and Are Not. Justify Your Answer.(Iii) Two Non-empty Sets Have Always a Non-empty Intersection. - Mathematics

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Question

Find out the sentence are statement and are not. Justify your answer.

Two non-empty sets have always a non-empty intersection.

Solution

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.

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Chapter 31: Mathematical reasoning - Exercise 31.1 [Page 3]

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RD Sharma Mathematics [English] Class 11
Chapter 31 Mathematical reasoning
Exercise 31.1 | Q 1.03 | Page 3

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