arrow_back The contrapositive of the sentence \(\sim p \rightarrow q\) is equivalent to ( )

Question

The contrapositive of the sentence \(\sim p \rightarrow q\) is equivalent to ( )
A. \(p \rightarrow \sim q\)
B. \(q \rightarrow \sim p\)
C. \(q \rightarrow p\)
D. \(\sim p \rightarrow \sim q\)
E. \(\sim q \rightarrow p\)

Answer 1

Answer:
E

 

Explanation:
The correct answer is (E). The contrapositive is the converse of the inverse. Thus, form the converse and negate the hypothesis and conclusion. Hence \(\sim q \rightarrow p\).