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

Question

Quizplus · Accepted Answer

The statements $\mathrm { q } \rightarrow \mathrm { p }$ and $\sim \mathrm { p } \rightarrow \sim \mathrm { q }$ are logically equivalent due to the contrapositive law. The contrapositive of a conditional statement is always logically equivalent to the original statement.

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

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