Maharashtra State BoardHSC Commerce 12th Board Exam
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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. Stock prices are high and stocks are rising if and only if stock - 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.

Stock prices are high and stocks are rising if and only if stock prices are high.

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Solution

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

∴ (p ∧ q) ↔ p ≡ (T ∧ T) ↔ T

≡ T ↔ T

≡ T

Hence, truth value is T.

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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