Maharashtra State BoardHSC Arts 12th Board Exam
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Write the truth value of the following statement: 5 is an irrational but 35 is a complex number. - Mathematics and Statistics

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Sum

Write the truth value of the following statement:

`sqrt5` is an irrational but `3sqrt5` is a complex number.

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Solution

Let p: 5 is an irrational.
      q: 35 is a complex 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]
[Note: Answer in the textbook is incorrect.]

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 3.1 | Page 33

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