Construct a truth table to decide if the two statements are equivalent.
-~p V~q; ~(p ^ q)

Question

Quizplus · Accepted Answer

|  p  |  q  | ~p V ~q | ~(p ^ q) |
|----|----|---------|----------|
| T  | T  |   F     |     F    |
| T  | F  |   T     |     T    |
| F  | T  |   T     |     T    |
| F  | F  |   T     |     T    |

As we can see from the truth table, the two statements have the same truth values in all possible combinations of truth values for p and q. Therefore, they are equivalent.

Construct a Truth Table to Decide If the Two Statements