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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

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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प्रश्न

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.

बेरीज

उत्तर

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.

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पाठ 1: Mathematical Logic - Miscellaneous Exercise 1 [पृष्ठ ३२]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
पाठ 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.07 | पृष्ठ ३२

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