Let R be the domain of the predicate variables a, b, c, and d. Which of the following are true and which are false? Give counterexamples for the statements that are false.
a. a > 0 and b > 0 ab > 0
b. a < 0 and b < 0 ab < 0
c. ab = 0 a = 0 or b = 0
d. a < b and c < d ac < bd
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