question b1 suppose that a b c and d are positive numbers with a less
Suppose that a, b, c, and d are positive numbers with a < b and c < d.
(a) Which of the following statements are consequences of the provided information? Justify or give a
counterexample to each statement.
(ii) a+d<c+d (iii) b+c<c+d
(b) Multiply both sides of the first inequality by c to conclude that ac < bc.
(c) How can you manipulate the second inquality to conclude that bc < bd?
(d) Is it always true that ac < bd? Justify this claim, or provide a counterexample.
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