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p : Stock prices are high. q : Stocks are rising. to be true, find the truth value of the following. Stock prices are high or stocks are not rising iff stocks are rising. - 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 or stocks are not rising iff stocks are rising.

योग

उत्तर

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

∴ (p ∨ ~q) ↔ q ≡ (T ∨ ~T) ↔ T

≡ (T ∨ F) ↔ T

≡ T ↔ T

≡ T

Hence, truth value is T.

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अध्याय 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
अध्याय 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.07 | पृष्ठ ३२

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