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

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Question

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

If price increases, then demand falls.

Sum

Solution

Let p : Prince 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

The answer in the textbook is incorrect.

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

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

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