1. a. Create a truth table for the following statements. Use one column in the table for each operator in the expression. Order the columns by the order of operations. i. ~ (p ~r) ii. ~p ~q q ~ r b. For each of the two expressions above, label it a contradiction, tautology, or neither. Explain by referring to the truth table. c. Are the two expressions logically equivalent? Justify your answer by joining the two truth tables with the bi-conditional and then filling in the truth values in the biconditional column as follows: ~ (p ~r) ~p ~q q ~ r