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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

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प्रश्न

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

If it rains then the principal declares a holiday.

योग
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उत्तर

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’.

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अध्याय 1: Mathematical Logic - Miscellaneous Exercise 1 [पृष्ठ ३३]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
अध्याय 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.17 | पृष्ठ ३३

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