document.write( "Question 1000900: 1(a) Given the universal set U={1,2,3,…,9} and the sets
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document.write( " A={1,2,3,4,5}; B={4,5,6,7}; C={1,3,5,7,9}; D={2,4,6,8}.
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document.write( "Find
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document.write( "(i)B-A
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document.write( " (ii)(A-D)c
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document.write( "(iii)(A⋂C)\B\r
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document.write( "Question 2(a)
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document.write( "Given the functions f and g be defined by f(x) = 5x-4 over
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document.write( " 8x-7
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document.write( "and g(x) =3x2-4. Find the formula defining the composition function gοf and fog. \r
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document.write( "Question 2 (b)
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document.write( "Consider the relation R= {(1,a); (2,d); (3,a); (3,b); (3,d)} and S= {(b,x); (b,z), (c,y); (d,z)}.Find S-1 o R-1
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Algebra.Com's Answer #618216 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! 1(a) Given the universal set U={1,2,3,…,9} and the sets \n" ); document.write( " A={1,2,3,4,5}; B={4,5,6,7}; C={1,3,5,7,9}; D={2,4,6,8}. \n" ); document.write( " \n" ); document.write( "Find \n" ); document.write( "(i)B-A \n" ); document.write( " \r\n" ); document.write( "That's the set of all elements of B that are not elements of B\r\n" ); document.write( "\r\n" ); document.write( "From B = {4,5,6,7}, we take out any of these A={1,2,3,4,5} which\r\n" ); document.write( "B contains. A contains 4 and 5, which A also contains, so we \r\n" ); document.write( "remove 4 and 5 from B and we have {6,7}.\r\n" ); document.write( "\r\n" ); document.write( "Therefore B-A = {6,7}\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " \r\n" ); document.write( "(ii)(A-D)c\r\n" ); document.write( "\r\n" ); document.write( "We first find what's in the parentheses, A-D\r\n" ); document.write( "\r\n" ); document.write( "From A={1,2,3,4,5}, we take out any of these D={2,4,6,8} which\r\n" ); document.write( "A contains. D contains 2 and 4, which A also contains, so we \r\n" ); document.write( "remove 2 and 4 from A and we have {1,3,5}.\r\n" ); document.write( "\r\n" ); document.write( "So A-D = {1,3,5}\r\n" ); document.write( "\r\n" ); document.write( "So to find the complement of that set, (A-D)c,\r\n" ); document.write( "we form the set of all elements in the universal set U={1,2,3,…,9}\r\n" ); document.write( "which are not elements of A-D, which is {1,3,5}. So we remove\r\n" ); document.write( "1,3 and 5 from the universal set U={1,2,3,…,9} and we have\r\n" ); document.write( "{2,4,6,7,8,9}\r\n" ); document.write( "\r\n" ); document.write( "So (A-D)c = {2,4,6,7,8,9}\r\n" ); document.write( "\r\n" ); document.write( "We are only supposed to answer 2 questions per post.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |