<h2>
Answer:</h2>
C. The two statements agree in point of truth or falsehood in virtue of their logical structure alone, i.e. the two statement are true or false in exactly the same conditions.
<h2>
Step-by-step explanation:</h2>
For two statements to be logically equivalent, their truth values (true or false) must be the same for every variation of their constituent variables. In other words, if the truth tables of both statements are the same for every possible value of their variables, then they are logically equivalent.
For example;
<em>The two statements P ∩ (Q U R) and (P ∩ Q) ∪ (P ∩ R) are logically equivalent. </em>
If P, Q and R are all true, then;
<em>P ∩ (Q U R) = true</em>
<em>(P ∩ Q) ∪ (P ∩ R) = true</em>
<em />
If P, Q and R are all true, then;
<em>P ∩ (Q U R) = false</em>
<em>(P ∩ Q) ∪ (P ∩ R) = false</em>
<em />
If P = false, Q = true and R = true, then;
<em>P ∩ (Q U R) = false</em>
<em>(P ∩ Q) ∪ (P ∩ R) = false</em>
<em />
Checking for all other possible combinations of truth values of P, Q and R will always give the same results for the two statements, therefore, they are logically equivalent.
