Unformatted text preview: Let C be the claim ± for all real numbers x 2 R , either x < or 1 2 x < x .² (a) Form the logical negation , D , of the claim C . Try to embed the word ± not ² as deeply into D as possible ( or avoid using it altogether ). There is a real number x such that x ³ and 1 2 x ³ x . (b) Which of the claims , C or D , is true , and why ? Claim D is true because, taking x = 0 , we see that ³ and 1 2 ³ ....
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This note was uploaded on 05/26/2010 for the course MATH maa 4200 taught by Professor Dr. during the Spring '08 term at Miami University.
 Spring '08
 Dr.
 Algebra, Sets

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