Maharashtra State BoardHSC Arts 12th Board Exam
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Write the truth value of the following statement: ∀ n ∈ N, n2 + n is even number while n2 – n is an odd number. - Mathematics and Statistics

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Sum

Write the truth value of the following statement:

∀ n ∈ N, n2 + n is even number while n2 – n is an odd number.

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Solution

Let p: ∀ n ∈ N, n2 + n is an even number.
      q: ∀ n ∈ N, n2 − n is an odd number.
Then the symbolic form of the given statement is p∧q.
The truth values of p and q are T and F respectively. ∴ The truth value of p∧q is F. ..........[T∧F ≡ F].

Concept: Truth Value of Statement
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 3.2 | Page 33

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