document.write( "Question 1007930: Let A = {0, 1, 3, 4, 6, 8}. List the ordered pairs D = {(x, y) | x/3 and y/3 have the same remainder} \n" ); document.write( "
Algebra.Com's Answer #623798 by Edwin McCravy(20054)\"\" \"About 
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document.write( "Divide each member of the set A by 3, using\r\n" );
document.write( "ordinary division, to find the remainder\r\n" );
document.write( "when dividing by 3:\r\n" );
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document.write( "          0 = quotient \r\n" );
document.write( "0/3     3)0  \r\n" );
document.write( "          0\r\n" );
document.write( "          0 = remainder\r\n" );
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document.write( "          0 = quotient \r\n" );
document.write( "1/3     3)1  \r\n" );
document.write( "          0\r\n" );
document.write( "          1 = remainder\r\n" );
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document.write( "          1 = quotient \r\n" );
document.write( "3/3     3)3  \r\n" );
document.write( "          3\r\n" );
document.write( "          0 = remainder\r\n" );
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document.write( "          1 = quotient \r\n" );
document.write( "4/3     3)4  \r\n" );
document.write( "          3\r\n" );
document.write( "          1 = remainder\r\n" );
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document.write( "          2 = quotient \r\n" );
document.write( "6/3     3)6  \r\n" );
document.write( "          6\r\n" );
document.write( "          0 = remainder\r\n" );
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document.write( "          2 = quotient \r\n" );
document.write( "8/3     3)8  \r\n" );
document.write( "          6\r\n" );
document.write( "          2 = remainder\r\n" );
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document.write( "D = {(x, y) | x/3 and y/3 have the same remainder}\r\n" );
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document.write( "0/3 has remainder 0\r\n" );
document.write( "1/3 has remainder 1\r\n" );
document.write( "3/3 has remainder 0\r\n" );
document.write( "4/3 has remainder 1\r\n" );
document.write( "6/3 has remainder 0\r\n" );
document.write( "8/3 has remainder 2\r\n" );
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document.write( "0/3 and 0/3 have the same remainder 0, so (0,0) is an element of D.\r\n" );
document.write( "0/3 and 3/3 have the same remainder 0, so (0,3) is an element of D.\r\n" );
document.write( "0/3 and 6/3 have the same remainder 0, so (0,6) is an element of D.\r\n" );
document.write( "1/3 and 1/3 have the same remainder 1, so (1,1) is an element of D.\r\n" );
document.write( "1/3 and 4/3 have the same remainder 1, so (1,4) is an element of D.\r\n" );
document.write( "3/3 and 0/3 have the same remainder 0, so (3,0) is an element of D.\r\n" );
document.write( "3/3 and 3/3 have the same remainder 0, so (3,3) is an element of D.\r\n" );
document.write( "3/3 and 6/3 have the same remainder 0, so (3,6) is an element of D.\r\n" );
document.write( "4/3 and 1/3 have the same remainder 1, so (4,1) is an element of D.\r\n" );
document.write( "4/3 and 4/3 have the same remainder 1, so (4,4) is an element of D.\r\n" );
document.write( "6/3 and 0/3 have the same remainder 0, so (6,0) is an element of D.\r\n" );
document.write( "6/3 and 3/3 have the same remainder 0, so (6,3) is an element of D.\r\n" );
document.write( "6/3 and 6/3 have the same remainder 0, so (6,6) is an element of D.\r\n" );
document.write( "8/3 and 8/3 have the same remainder 2, so (8,8) is an element of D.\r\n" );
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document.write( "So\r\n" );
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document.write( "D = { (0,0),(0,3),(0,6),(1,1),(1,4),(3,0),(3,3),(3,6),(4,1),(4,4),(6,0),(6,3),(6,6),(8,8) } \r\n" );
document.write( "Edwin
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