The following are three valid arguments. Establish the validity of each by means of a truth table. In each case, determine which rows of the table are crucial for assessing the validity of the argument and which rows can be ignored.
a) [p ˄ (p → q) ˄ r] → [(p ˅ q) → r]
b) [[( p˄ q) →r] ˄ ¬q ˄ (p → ¬r)] → (¬p ˅ q)
c) [[p ˅ (q ˅ r) ˄ ¬q] → (p ˅ r)
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