Write the converse, inverse, or contrapositive of the statement as requested.
-$\mathrm { q } \rightarrow ( \sim \mathrm { p } \wedge \mathrm { r } )$
Contrapositive
(Use one of De Morgan's laws)
A) $\sim q \rightarrow ( p \vee \sim r )$
B) $( \sim p \wedge r ) \rightarrow q$
C) $q \rightarrow ( p \vee \sim r )$
D) $( \mathrm { p } \vee \sim \mathrm { r } ) \rightarrow \sim \mathrm { q }$

Question

Quizplus · Accepted Answer

The contrapositive of a statement $\mathrm { q } \rightarrow ( \sim \mathrm { p } \wedge \mathrm { r } )$ is $( \mathrm { p } \vee \sim \mathrm { r } ) \rightarrow \sim \mathrm { q }$, which is achieved by negating both the hypothesis and the conclusion and swapping them, applying De Morgan's law to the conclusion part.

Write the Converse, Inverse, or Contrapositive of the Statement as Requested