document.write( "Question 151259: \"-x%3C2x%2B3%3C-8x%2B3\"\r
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Algebra.Com's Answer #111164 by Edwin McCravy(20064)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"-x%3C2x%2B3%3C-8x%2B3\"\r\n" );
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document.write( "Procedure for \"FIRST%3CSECOND%3CTHIRD\"\r\n" );
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document.write( "1. Solve \"FIRST%3CSECOND\"\r\n" );
document.write( "2. Solve \"SECOND%3CTHIRD\"\r\n" );
document.write( "3. Solve \"FIRST%3CTHIRD\"\r\n" );
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document.write( "Put all three on number lines and take \r\n" );
document.write( "what is common to all three number\r\n" );
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document.write( "Solve the first two only:\r\n" );
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document.write( "\"-x%3C2x%2B3\"\r\n" );
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document.write( "Add +x to both sides:\r\n" );
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document.write( "\"-x%2Bx%3C2x%2B3%2Bx\"\r\n" );
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document.write( "\"0%3C3x%2B3\"\r\n" );
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document.write( "Add -3 to both sides:\r\n" );
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document.write( "\"0-3%3C3x%2B3-3\"\r\n" );
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document.write( "\"-3%3C3x\"\r\n" );
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document.write( "Divide through by +3 (doesn't reverse inequality)\r\n" );
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document.write( "\"-1%3Cx\"\r\n" );
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document.write( "which is the same as \"x%3E-1\"\r\n" );
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document.write( "Draw the graph of that on a number line:\r\n" );
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document.write( "---------------------------------------------\r\n" );
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document.write( "Next solve the second and third only:\r\n" );
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document.write( " \"2x%2B3%3C-8x%2B3\"\r\n" );
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document.write( "Add -3 to all three sides:\r\n" );
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document.write( "\"2x%2B3-3%3C-8x%2B3-3\"\r\n" );
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document.write( "\"2x%3C-8x\"\r\n" );
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document.write( "Add +8x to both sides:\r\n" );
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document.write( "\"2x%2B8x%3C-8x%2B8x\"\r\n" );
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document.write( "\"10x%3C0\"\r\n" );
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document.write( "Divide both sides by 10:\r\n" );
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document.write( "\"x%3C0\"\r\n" );
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document.write( "----\r\n" );
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document.write( "\"-x%3C-8x%2B3\"\r\n" );
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document.write( "\"x-x%3C-8x%2B3-x\"\r\n" );
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document.write( "\"0%3C-9x\"\r\n" );
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document.write( "Divide both sides by -9 (reverses the inequality)\r\n" );
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document.write( "\"0%3Ex\"\r\n" );
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document.write( "So that gave us the same inequality as the second.\r\n" );
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document.write( "Therefore we have only these two inequalities:\r\n" );
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document.write( "\"-1%3Cx\"  and \"x%3C0\"\r\n" );
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document.write( "They can be written together as\r\n" );
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document.write( "\"-1%3Cx%3C0\" or in interval notation as (-1,0).\r\n" );
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document.write( "Edwin
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