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Unformatted text preview: If it is hot outside, and the air conditioner is not working, then it is hot inside unless the alternate cooling system is in place . Problem 2.4 Let A, B, C be any three sets and let U denote the universe of all elements. Prove the following: ( BA ) ∪ ( CA ) = ( B ∪ C )A Problem 2.5 Let R denote the set of real numbers. For each of the following conditions, give an example of a function from R to R that satis±es the condition. Explain your answer brie²y. a. The function is oneone but not onto b. The function is onto but not oneone c. The function is both oneone and onto d. The function is neither oneone nor onto Problem 2.6 Let Z denote the set of integers and E denote the set of even numbers, i.e. E = { 2 , 4 , 6 , 8 , . . . } . Demonstrate a function g that is a bijection from Z to E , and prove that the function is a bijection. 2...
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This note was uploaded on 03/26/2008 for the course CPR E 310 taught by Professor Srikanta during the Spring '08 term at Iowa State.
 Spring '08
 Srikanta

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