document.write( "Question 554013: Solve the inequality\r
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Algebra.Com's Answer #361153 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "  -6 < -4x - 6 < 46\r\n" );
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document.write( "The object is to solve for x in the middle:\r\n" );
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document.write( "Add 6 to all three sides:\r\n" );
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document.write( "-6 + 6 < -4x - 6 + 6 < 46 + 6\r\n" );
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document.write( "      0 < -4x < 52\r\n" );
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document.write( "Divide all three sides by -4.  We must reverse the inequality\r\n" );
document.write( "symbols when (and only when) we divide (or multiply) through\r\n" );
document.write( "by a negative number. -4 is negative so we must reverse\r\n" );
document.write( "the inequality symbols from < to > :\r\n" );
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document.write( "       >  > \r\n" );
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document.write( "          0 > x > -13\r\n" );
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document.write( "That's the solution.  That can also be written as \r\n" );
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document.write( "          -13 < x < 0.\r\n" );
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document.write( "The solution SET can be indicated by a number line graph:\r\n" );
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document.write( "----------o===================================================o--------\r\n" );
document.write( "-15 -14 -13 -12 -11 -10  -9  -8  -7  -6  -5  -4  -3  -2  -1   0   1   2\r\n" );
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document.write( "or by set-builder notation:\r\n" );
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document.write( "        { x | -13 < x < 0 }\r\n" );
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document.write( "or by interval notation:\r\n" );
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document.write( "             (-13, 0)  \r\n" );
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document.write( "Edwin

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