Relationships in Truth Statements

Exercise

Construct a truth table to determine whether the following pairs of statements are materially equivalent.

1. A ⊃ B and ~A v B
   
2. ~(A ⋅ B) and ~A v ~B
3. A ⊃ B and ~B ⊃ ~A
   
4. A v ~B and B ⊃ A
   
5. B ⊃ A and A ⊃ B
   
6. ~(A ⊃ B) and A ⋅ ~B
7. A v B and ~A ⋅ ~B
   
8. A v (B ⋅ C) and (A v B) ⋅ (A v C)
   
9.  (A v B) ⋅ C and A v (B ⋅ C)
   
10. ~(A v B) and ~A v B