Determine whether the statements are logically equivalent.
-$\mathrm { p } \rightarrow \mathrm { q }$ and $\sim \mathrm { q } \rightarrow \sim \mathrm { p }$
A) Yes
B) No

Question

Quizplus · Accepted Answer

The statements $\mathrm { p } \rightarrow \mathrm { q }$ and $\sim \mathrm { q } \rightarrow \sim \mathrm { p }$ are logically equivalent due to the contrapositive law in logic, which states that a conditional statement is logically equivalent to its contrapositive.

Determine Whether the Statements Are Logically Equivalent p→q\mathrm { p } \rightarrow \mathrm { q }p→q

Determine Whether the Statements Are Logically Equivalent $\mathrm { p } \rightarrow \mathrm { q }$