303a3solns - ASSIGNMENT 3 MATH 303, FALL 2011 If you find...

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ASSIGNMENT 3 MATH 303, FALL 2011 If you find any errors please let me know. Manipulation (M1) (a) 3 = { 0 , 1 , 2 } (b) 3 = {∅ , {∅} , {∅ , {∅}}} . (M2) { 0 , 3 , 4 } + = { 0 , 3 , 4 } ∪ {{ 0 , 3 , 4 }} = { 0 , 3 , 4 , { 0 , 3 , 4 }} (M3) Y X = {{ ( a,c ) , ( b,c ) } , { ( a,c ) , ( b,d ) } , { ( a,c ) , ( b,e ) } , { ( a,d ) , ( b,c ) } , { ( a,d ) , ( b,d ) } , { ( a,d ) , ( b,e ) } , { ( a,e ) , ( b,c ) } , { ( a,e ) , ( b,d ) } , { ( a,e ) , ( b,e ) }} (M4) X Y = {{ ( c,a ) , ( d,a ) , ( e,a ) } , { ( c,a ) , ( d,a ) , ( e,b ) } { ( c,a ) , ( d,b ) , ( e,a ) } , { ( c,a ) , ( d,b ) , ( e,b ) } { ( c,b ) , ( d,a ) , ( e,a ) } , { ( c,b ) , ( d,a ) , ( e,b ) } { ( c,b ) , ( d,b ) , ( e,a ) } , { ( c,b ) , ( d,b ) , ( e,b ) }} (M5) The set { ( a,c ) , (1 ,c ) , ( b, 2) , (2 , 3) , ( a, 4) } is not a function because it contains both ( a,c ) and ( a, 4) and thus a maps to both 4 and c , which is not possible for a function.
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This note was uploaded on 01/30/2012 for the course MATH 310 303 taught by Professor Rwk during the Spring '11 term at Simon Fraser.

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303a3solns - ASSIGNMENT 3 MATH 303, FALL 2011 If you find...

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