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Write the truth value of the following statements.(i) 9 is an even integer or 9 + 1 is even.(ii) 2 + 4 = 6 or 2 + 4 = 7(iii) Delhi is the capital of India and Islamabad is the capital

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Question

Write the truth value of the following statements.
(i) 9 is an even integer or 9 + 1 is even.
(ii) 2 + 4 = 6 or 2 + 4 = 7
(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.

Sum
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Solution

In view of (D1), (D2), (D3) and (D4),

We observe that only statement (iv) has truth value F as the first component statement namely “every rectangle is a square” is false.

Further, in statements (i), (ii) and (v) atleast one component statement is true.

Therefore, these statements have truth value T.

Also, truth value of statement (iii) is T as both the component statements are true

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Chapter 14: Mathematical Reasoning - Solved Examples [Page 256]

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NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 14 Mathematical Reasoning
Solved Examples | Q 4 | Page 256

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