Prove each of the statement in two ways: (a) by contraposition and (b) by contradiction.
Exercise
For all integers a, b, and c, if a | b and a c, then a (b + c). (Hint: To prove p → q ˅ r, it suffices to prove either p ˄ ~q → r or p ˄ ~r → q. See exercise.)
Exercise
a. Hint: p → q ∨ r is true in all cases except when p is true and both q and r are false.
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