(Solved): a) Complete the following truth table. Use T for true and F for false. You may add more columns, bu ...

a) Complete the following truth table. Use $T$ for true and $F$ for false. You may add more columns, but those added columns will not be graded. (b) Is the statement $(?q?p)??(p?q)$ a tautology, a contradiction, or neither? Why? Choose the best answer. The statement is a tautology. This is because it is true for all possible true-false combinations of $p$ and $q$. The statement is a tautology. This is because it is true for some true-false combinations of $p$ and $q$ and false for others. The statement is a contradiction. This is because it is false for all possible true-false combinations of $p$ and $q$. The statement is a contradiction. This is because it is true for some true-false combinations of $p$ and $q$ and false for others. The statement is neither a tautology nor a contradiction.