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Rewrite the following statement without using conditional – (Hint : p → q ≡ ∼ p ∨ q) If demand falls, then price does not increase.

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Question

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

If demand falls, then price does not increase.

Sum
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Solution

Let p : demand falls.
q : Price does not increase.
The given statement is p → q.

But p → q ≡ ~ p ∨ q.

∴ The given statement can be written as ‘Demand does not fall or price does not increase’.

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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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