Using the replacement rule method, show that the following are tautologies. Please write your conclusion at the end of each of the items.
a. ((∼p ∧ q) ∧ (q ∧ r))∧ ∼q
b. (∼p ∨ q) ∨ (p ∧ ∼q)
**Do not remove parenthesis or change the grouping unless it is valid to do so, that
is, it does not affect the truth value of the expression.
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