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Use De Morgan law to write the negation of the following statement

Use De Morgan law to write the negation of the following statement-example-1
User Bobmarksie
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The negation of the statement q ∧ (r v p ) is ¬q v ¬r ∧ ¬p

Step-by-step explanation

The Demogan's law state:

¬(p∧ q) = ¬p v ¬q

¬(p v q) = ¬p ∧ ¬q

Applying it to find the negation of;

q ∧ (r v p )

¬ ( q ∧ (r v p ) ) = ¬q v ¬(r v p) = ¬q v ¬r ∧ ¬p

Therefore; the negation of the statement q ∧ (r v p ) is ¬q v ¬r ∧ ¬p

User Secretmike
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