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Question:

For any two statements p and q, the negation of the expression p∨(¬p∧q) is?

p∧q

¬p∧¬q

¬p∨¬q

p↔q

Solution:

¬(p∨(¬p∧q))=¬p∧¬(¬p∧q)=¬p∧(p∨¬q)=(¬p∧p)∨(¬p∧¬q)=F∨(¬p∧¬q)=(¬p∧¬q).