document.write( "Question 1167141: Let U = {x ∈ Z | 0 ≤ x ≤ 20}. Also, let A = set of all even integers;
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\n" ); document.write( "D={y ∈ U | y = 2z + 3, for some z∈Z}.\r
\n" ); document.write( "\n" ); document.write( "Represent sets A, B, C, D using set-roster notation.
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Algebra.Com's Answer #791746 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "U = {x ∈ Z | 0 ≤ x ≤ 20} = {0,1,2,3,...,20};\r\n" );
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document.write( "A = set of all even integers = \"...-6%2C-4%2C-2%2C0%2C2%2C4%2C6%2C...\";\r\n" );
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document.write( "B= set of all prime numbers = \"2%2C3%2C5%2C7%2C11%2C13%2C17%2C19%2C...\";\r\n" );
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document.write( "C = set of all numbers coprime with 2 = \"3%2C5%2C7%2C9%2C11%2C...\";\r\n" );
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document.write( "{y ∈ U | y= 2z + 3, for some z∈Z} \r\n" );
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document.write( "To do the last one:\r\n" );
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document.write( "\"0%3C=2z+%2B+3%3C=20\"\r\n" );
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document.write( "Solve for z in the middle.\r\n" );
document.write( "Subtract 3 from all three sides:\r\n" );
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document.write( "\"-3%3C=2z%3C=17\"\r\n" );
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document.write( "Divide all three sides by 2\r\n" );
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document.write( "\"-1.5%3C=z%3C=8.5\"\r\n" );
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document.write( "Since z is an integer,\r\n" );
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document.write( "\"-1%3C=z%3C=8\" = {-1,0,1,2,3,...,8}, substitute each \r\n" );
document.write( "in 2z+3:\r\n" );
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document.write( "{y ∈ U | y = 2z + 3, for some z ∈ Z} = {1,3,5,7,...,19}\r\n" );
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document.write( "Edwin
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