The negation of the inverse of the statement p q is...

Step-by-step solution

The given statement is p q . We know that a disjunction A B can be expressed as a conditional statement A B . Thus, the statement p q can be written as p q . The inverse of a conditional statement A B is A B . Therefore, the inverse of p q is p ( q) , which simplifies to p q . Converting this inverse back to a logical disjunction, we get ( p) q p q . The negation of this inverse is (p q) . By De Morgan's Law, (p q) p q . Answer: p q