Tip:A–D to answerE for explanationV for videoS to reveal answer
The negation of ~ SV(~R^ S) is equivalent to
- A.
SV( RV- S)
- B.
SΛ ~ R
- C.
S ∧ R
(Correct Answer) - D.
SΛ(RΛ~ S)
Explanation
The negation of ¬s ∨ (¬r ∧ s) is equivalent to s ∧ r.
Explanation:
¬[¬s ∨ (¬r ∧ s)]
s ∧ (r ∨ ¬s) ……[De Morgan's law]
(s ∧ r) ∨ (s ∧ ¬s) ………. [Distributive Jaw]
(s ∧ r) ∨ F ……… [Complement law]
s ∧ r ……… [Identity law]
Explanation
The negation of ¬s ∨ (¬r ∧ s) is equivalent to s ∧ r.
Explanation:
¬[¬s ∨ (¬r ∧ s)]
s ∧ (r ∨ ¬s) ……[De Morgan's law]
(s ∧ r) ∨ (s ∧ ¬s) ………. [Distributive Jaw]
(s ∧ r) ∨ F ……… [Complement law]
s ∧ r ……… [Identity law]
