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

Question

Quizplus · Accepted Answer

The statements $\mathrm { q } \rightarrow \mathrm { p }$ and $\mathrm { p } \rightarrow \mathrm { q }$ are not logically equivalent because the first statement means "if q then p" while the second means "if p then q", and these conditions do not imply each other in all cases.

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

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