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

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