Write the negation of (p ↔ q).
Answers
Answer:
The negation of p ∧ q asserts “it is not the case that p and q are both true”. Thus, ¬(p ∧ q) is true exactly when one or both of p and q is false, that is, when ¬p ∨ ¬q is true. ... The statement is false only when p is true and q is false.
Answer:
The negation of p ∧ q asserts “it is not the case that p and q are both true”. Thus, ¬(p ∧ q) is true exactly when one or both of p and q is false, that is, when ¬p ∨ ¬q is true. ... The statement is false only when p is true and q is false.
Step-by-step explanation:
Step : 1 To get the negation of, we refer back to the description of. The phrase is only untrue when both p and q are true. As a consequence, (p q) and (p q) in Chapter 1 of the Logic are equivalent. Using the same reasoning or by negating the negative, we may demonstrate that p q and p q are comparable.
Step : 2 In propositional logic, the double negation theorem states, "If a statement is true, then it is not true that the statement is untrue." A (A), where the sign denotes logical equivalence, can be used to express that a statement A is logically equivalent to not (not-A).
Step : 3 "P" is the negation of "P" if "P" is a statement. The denial of a statement is indicated by the terms "" or "". For instance, the line is "Arjun's dog has a black tail." The denial of the above assertion is "Arjun's dog does not have a black tail."
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