Disc-a2

Disc-a2 - A and B so that ( A & B ) [ B is not equal to...

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1. Write out the following sets by listing their elements between curly braces. For each set, give its cardinality . (a) f x 2 Z : x j 21 g The set is 21 ; 7 ; 3 ; 1 ; 1 ; 3 ; 7 ; 21 g . Its cardinality is 8 . (b) f x : x ± f 1 ; 2 ; 3 ; 4 g and j x j ² 2 g The set is f; ; f 1 g ; f 2 g ; f 3 g ; f 4 g ; f 1 ; 2 g ; f 1 ; 3 g ; f 1 ; 4 g ; f 2 ; 3 g ; f 2 ; 4 g ; f 3 ; 4 gg . Its cardinality is 11 . (c) ( f 1 ; 2 g ³ f 3 ; 4 ; 5 g ) \ ( f 1 ; 2 ; 3 g ³ f 4 ; 5 g ) The set is f (1 ; 4) ; (1 ; 5) ; (2 ; 4) ; (2 ; 5) g . Its cardinality is 4 . (d) ( f 1 ; 2 ; 3 ; 4 ; 5 4 ; 5 ; 6 ; 7 g ) [ f 7 g The set is f 1 ; 2 ; 3 ; 7 g . Its cardinality is 4 . (e) 2 f 3 ; 4 ; 5 g The set is f; ; f 3 g ; f 4 g ; f 5 g ; f 3 ; 4 g ; f 3 ; 5 g ; f 4 ; 5 g ; f 3 ; 4 ; 5 gg . Its car- dinality is 8 . 2. Give an example of two sets
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Unformatted text preview: A and B so that ( A & B ) [ B is not equal to A . Any two sets A and B where B is not contained in A . So, for example, A = f 1 g and B = f 2 g . 3. Give an example of two sets A and B so that ( A & B ) [ B is equal to A . Any two sets A and B where B is contained in A . So, for example, A = f 1 ; 2 g and B = f 2 g ....
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This note was uploaded on 07/13/2011 for the course MAD 2104 taught by Professor Staff during the Spring '08 term at FAU.

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