Unformatted text preview: 4. (2 points) Let A = { 3 , 4 , 5 , 6 , 7 , 8 } . Let B = { 1 , 3 , 5 , 7 , 9 } . Let C = { 2 , 4 , 6 , 8 } . Describe the following three sets: (a) ( A ∪ C ) ∩ B . (b) A ∪ ( C ∩ B ). 5. (2 points) Prove that if x is a rational number, and y is a rational number, then x · y is a rational number. 6. (2 points) Use the intermediate value theorem to prove that there exists a real number y which satisﬁes y 3 + y + 1 = 2....
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 Fall '08
 Weissman
 Math, Rational number, following sentence, onehour, Martin H. Weissman

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