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Assuming the following statement. p : Stock prices are high. q : Stocks are rising. to be true, find the truth value of the following. It is false that stocks are rising and stock prices are high. - Mathematics and Statistics

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Sum

Assuming the following statement.
p : Stock prices are high.
q : Stocks are rising.
to be true, find the truth value of the following.

It is false that stocks are rising and stock prices are high.

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Solution

The symbolic form of the given statement is ~(q ∧ p).

∴ ~(q ∧ p) ≡ ~(T ∧ T) ≡ ~T ≡ F

Hence, truth value is F.

Notes

[Note: Answer in the textbook is incorrect]

Concept: Truth Value of Statement
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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 4.07 | Page 32
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