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

योग
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उत्तर

(p ∧ ~r) ∧ (~q ∨ s)

≡ (T ∧ ∼F) ∧ (∼T ∨ F)

≡ (T ∧ T) ∧ (F ∨ F)

≡ T ∧ F

≡ F

∴ Truth value of (p ∧ ∼r) ∧ (∼q ∨ s) is F.

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अध्याय 1.1: Mathematical Logic - Short Answers I

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