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Byju's Answer
Standard VIII
Mathematics
Inverse Proportion
The negation ...
Question
The negation of
~
(
p
∧
q
)
∨
r
is ______________.
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Solution
Given : ~(p ∧ q) ∨ r
Negation of above statement
is ~(~(p ∧ q) ∨ r)
i.e. ~(~(p ∧ q)) ∧ ~r (By Demorgan's Law)
i.e. (p ∧ q) ∧ ~r
Hence, ~(p ∧ q) ∨ r is equivalent to (p ∧ q) ∧ ~r
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