Answer to Question #259844 in Discrete Mathematics for sheikh sahab

Question

2. What does it mean for two propositions to be logically equivalent? 

Answer 1

Suppose we have two propositions, p and q. The propositions are equal or logically equivalent if they always have the same truth value. That is, p and q are logically equivalent if p is true whenever q is true, and vice versa, and if p is false whenever q is false, and vice versa.