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If statements p, q are true and r, s are false, determine the truth values of the following. ~ p ∧ (q ∨ ~ r) - Mathematics and Statistics

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प्रश्न

If statements p, q are true and r, s are false, determine the truth values of the following.

~ p ∧ (q ∨ ~ r)

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उत्तर

~ p ∧ (q ∨ ~ r)

≡ ∼T ∧ (T ∨ ∼ F)

≡ F ∧ (T ∨ T)

≡ F ∧ T

≡ F

∴ Truth value of ~ p ∧ (q ∨ ~ r) is F

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पाठ 1.1: Mathematical Logic - Short Answers I

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