the statement p when q is logically equivalent to which of the following statement.
To determine which statement is logically equivalent to “p when q”, we need to examine the logical connectives used in the statement.
The phrase “p when q” typically implies a conditional statement, where p is the condition and q is the result. In symbolic logic, the conditional statement is represented as p → q. The arrow (→) denotes the implication.
To find the logically equivalent statement, we can use the concept of the contrapositive. The contrapositive of a conditional statement is formed by negating both the condition and the result, and then reversing their positions. The contrapositive of p → q is ¬q → ¬p, where the tilde (¬) denotes negation.
Therefore, the logically equivalent statement to “p when q” is “¬q → ¬p”.
I hope this clarifies the logical equivalence of the statement “p when q” and its equivalent form. If you have any further questions, please feel free to ask.