Chapter 3 - Logic - 3.5 Equivalent Statements and Variations of Conditional Statements - Exercise Set 3.5 - Page 170: 3

The provided statements are not equivalent.

Determine the truth table for \[\sim p\to q\] and \[q\to \sim p\] as shown below, It can be seen from the truth table that the values of \[\sim p\to q\] and \[q\to \sim p\]are not same therefore, \[\sim p\to q\] and \[q\to \sim p\] are not equivalent.