Discrete Mathematics Elementary and Beyond International

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And each of 300 people will have one such value. The question is not, are additions more common than omissions (they are not), but are additions more commonly preserved? Which of these pairs of statements is logically equivalent? Then it is noted that 3 · 8 = (6 − 3) · 8 = 6 · 8 − 3 · 8 hence 24 = 48 − 3 · 8 or, using reasoning as in our last remark but one, −24 = −3 · 8 Discrete Mathematics Demystified 78 Similarly, one can show that −48 = −6 · 8 Taking these two facts for granted, we then compute that (8 − 3) · (8 − 6) = 8 · 8 + 8 · (−6) + (−3) · 8 + (−3) · (−6) As a result, 10 = 64 − 48 − 24 + (−3) · (−6) or 10 + 72 − 64 = (−3) · (−6) hence 18 = (−3) · (−6) Again, this reasoning is perfectly correct.

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