document.write( "Question 1091315: 5 times the lesser of two positive consecutive even integers
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Algebra.Com's Answer #705677 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Let x = the lesser of two positive consecutive even integers.\r\n" );
document.write( "Then x+2 = the greater of the two positive consecutive even \r\n" );
document.write( "integers.\r\n" );
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\n" ); document.write( "5 times lesser of two positive consecutive even integers
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document.write( "That's 5 times x, which is 5x\r\n" );
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document.write( "That means \"is less than or equal to\",\r\n" );
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document.write( "written \"5x\"\"%22%22%3C=%22%22\"\r\n" );
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\n" ); document.write( "...four times the greater?\r
\n" ); document.write( "\n" ); document.write( "That's 4 times (x+2), which is written 4(x+2).\r
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\n" ); document.write( "What are the possible 4 pairs of positive consecutive even integers?
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document.write( "We solve the inequality:\r\n" );
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document.write( "\"5x\"\"%22%22%3C=%22%22\"\"4%28x%2B2%29\"\r\n" );
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document.write( "Distribute to remove the parentheses on the right:\r\n" );
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document.write( "\"5x\"\"%22%22%3C=%22%22\"\"4x%2B8\"\r\n" );
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document.write( "Subtract 4x from both sides:\r\n" );
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document.write( "\"x\"\"%22%22%3C=%22%22\"\"8\"\r\n" );
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document.write( "Since the lesser, x, must be even, x=2, x=4, x=6, or x=8  \r\n" );
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document.write( "So there are 4 possibilities for x, namely, 2, 4, 6, and 8.\r\n" );
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document.write( "The four pairs of positive consecutive even integers \r\n" );
document.write( "fulfilling the given requirements are:\r\n" );
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document.write( "{2,4}, {4,6}, {6,8}, {8,10}\r\n" );
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document.write( "Edwin
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