Maharashtra State BoardHSC Commerce 12th Board Exam
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Rewrite the following statement without using the connective ‘If ... then’. If it rains then the principal declares a holiday. - Mathematics and Statistics

Sum

Rewrite the following statement without using the connective ‘If ... then’.

If it rains then the principal declares a holiday.

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Solution

Let p : It rains.

q : The principal declares a holiday.

The given statement is p → q.

But p → q ≡ ~p ∨ q.

∴ The given statement can be written as ‘It does not rain or the principal declares a holiday’.

  Is there an error in this question or solution?
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.17 | Page 33
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