Math miscellaneousHard
Question
The negation of ~ s ∨ (~ r ∧ s) is equivalent to :
Options
A.s ∨ (r∨ ~ s)
B.s ∧ r
C.s ∧ ~ r
D.s (r ∧ ~ s)r
Solution
~ s ∨ (~ r ∧ s)
(~ s ∨ ~ r) ∧ (~ s ∧ s)
(~ s ∨ ~ r) ∧ t
(~ s ∨ ~ r)
~ (~ s ∨ ~ r)
s ∧ r
(~ s ∨ ~ r) ∧ (~ s ∧ s)
(~ s ∨ ~ r) ∧ t
(~ s ∨ ~ r)
~ (~ s ∨ ~ r)
s ∧ r
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