(a) Which of the following statements are consequences of the provided information? Justify or give a
counterexample to each statement.
(i) a+c
(iv) a+c
(ii) a+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.