document.write( "Question 604725: Solve the inequality -2(3 + x) < 4x + 4 < 8x. Give the result in set notation and graph it.\r
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Algebra.Com's Answer #381370 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Your answer is correct.\r\n" );
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document.write( "When you have A < B < C\r\n" );
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document.write( "You have to solve all three inequalities\r\n" );
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document.write( "     A < B,     B < C,    and A < C\r\n" );
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document.write( "and take as the final answer whatever result \r\n" );
document.write( "makes all three true at the same time. \r\n" );
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document.write( "           -2(3 + x) < 4x + 4 < 8x\r\n" );
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document.write( "We do the first and second:\r\n" );
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document.write( "           -2(3 + x) < 4x + 4\r\n" );
document.write( "             -6 - 2x < 4x + 4\r\n" );
document.write( "                 -6x < 10\r\n" );
document.write( "                   x > \"%28-10%29%2F6\"\r\n" );
document.write( "                   x > \"-5%2F3\"\r\n" );
document.write( "                 \r\n" );
document.write( "We do the second and third:       \r\n" );
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document.write( "              4x + 4 < 8x\r\n" );
document.write( "                  4x < 8x - 4\r\n" );
document.write( "                 -4x < -4\r\n" );
document.write( "                   x > 1 \r\n" );
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document.write( "We do the first and third:\r\n" );
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document.write( "           -2(3 + x) < 8x\r\n" );
document.write( "             -6 - 2x < 8x\r\n" );
document.write( "                -10x < 6\r\n" );
document.write( "                   x > -6/10\r\n" );
document.write( "                   x > -3/5\r\n" );
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document.write( "All three of these must be true at the same\r\n" );
document.write( "time, so therefore x must be greater than 1\r\n" );
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document.write( "So the solution set is\r\n" );
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document.write( "          {x|x > 1}\r\n" );
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document.write( "Graphed on a number line:\r\n" );
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document.write( " -------------------(============> \r\n" );
document.write( " -5 -4 -3 -2 -1  0  1  2  3  4  5 \r\n" );
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document.write( "Edwin
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