मराठी

The negation of ∼s ∨ (∼r ∧ s) is equivalent to ______ -

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प्रश्न

The negation of ∼s ∨ (∼r ∧ s) is equivalent to ______

पर्याय

  • s ∧ ∼r

  • s ∧ (r ∧ ∼s)

  • s ∨ (r ∨ ∼s)

  • s ∧ r

MCQ
रिकाम्या जागा भरा

उत्तर

The negation of ∼s ∨ (∼r ∧ s) is equivalent to s ∧ r.

Explanation:

∼[∼s ∨ (∼r ∧ s)] 

≡ s ∧ (r ∨ ∼s)  .......[De Morgan's lawl

≡ (s ∧ r) ∨ (s ∧ ∼s) ........... [Distributive Jaw]

≡ (s ∧ r) ∨ F  ......... [Complement law]

≡ s ∧ r ......... [Identity law]

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