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Rewrite the following statement without using conditional –(Hint : p → q ≡ ∼ p ∨ q) If price increases, then demand falls.

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Question

Rewrite the following statement without using conditional –
(Hint : p → q ≡ ∼ p ∨ q)

If price increases, then demand falls.

Sum
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Solution

Let p : Price increases.

q : demand falls.

The given statement is p → q.

But p → q ≡ ~p ∨ q.

The given statement can be written as ‘Price does not increase or demand falls’.

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Notes

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Chapter 1: Mathematical Logic - Miscellaneous Exercise 1 [Page 32]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.08 | Page 32

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