document.write( "Question 307180: solve the compound inequality.
\n" ); document.write( " 7 > -4x + 6 or 8 ≤ -4x + 3
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Algebra.Com's Answer #219819 by Edwin McCravy(20055)\"\" \"About 
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document.write( "\"7+%3E+-4x%2B6\"\"OR\"\"8+%3C=-4x%2B3\"\r\n" );
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document.write( "Add 4x-7 to both sides of the first inequality\r\n" );
document.write( "Add 4x-8 to both sides of the second inequality:\r\n" );
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document.write( "\"4x+%3E+-1\"\"OR\"\"4x+%3C=-5\"\r\n" );
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document.write( "Divide both sides of both inequalities by 4\r\n" );
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document.write( "\"x+%3E+-1%2F4\"\"OR\"\"x+%3C=-5%2F4\"\r\n" );
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document.write( "\"x+%3E+-0.25\"\"OR\"\"x+%3C=-1.25\"\r\n" );
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document.write( "Graph the first inequality. We use an open circle, o, for \"%22%22%3C%22%22\" \r\n" );
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document.write( " ----------------------------o=======================>\r\n" );
document.write( "-3         -2  -1.25 -1  -0.25  0         1         2\r\n" );
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document.write( "Graph the second inequality.  We use a closed circle, @, for \"%22%22%3C=%22%22\" \r\n" );
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document.write( "<===================@---------------------------------\r\n" );
document.write( " -3         -2  -1.25 -1  -0.25  0         1         2\r\n" );
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document.write( "Since the word between the inequalities is \"OR\", we take their \r\n" );
document.write( "UNION:\r\n" );
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document.write( "<===================@---------o=======================>\r\n" );
document.write( " -3         -2  -1.25 -1  -0.25  0         1         2\r\n" );
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document.write( "The abbreviation for this graph is called \"interval notation\":\r\n" );
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document.write( "  (\"-infinity\",-1.25] U (-0.25, \"infinity\")\r\n" );
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document.write( "Note that the bracket ] stands for a closed circle @ and a (\\r\n" );
document.write( "stands for an open circle o.\r\n" );
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document.write( "Edwin
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