document.write( "Question 115370: The solution of the inequality 4x-6<2x<5x+3 is ?\n" ); document.write( "
Algebra.Com's Answer #83974 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( " 4x-6 < 2x < 5x+3 \r\n" );
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document.write( "Break into two inequalities, and solve each\r\n" );
document.write( "for x:\r\n" );
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document.write( " 4x-6 < 2x AND 2x < 5x+3 MUST BOTH BE TRUE\r\n" );
document.write( "   2x < 6  AND -3x < 3   MUST BOTH BE TRUE \r\n" );
document.write( "    x < 3  AND   x > -1  MUST BOTH BE TRUE\r\n" );
document.write( "    x < 3  AND  -1 < x   MUST BOTH BE TRUE\r\n" );
document.write( "   -1 < x  AND   x < 3   MUST BOTH BE TRUE\r\n" );
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document.write( "THOSE INEQUALITIES CAN NOW BE COMBINED \r\n" );
document.write( "WITH x IN THE MIDDLE AS\r\n" );
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document.write( "        -1 < x < 3       \r\n" );
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document.write( "which represents this interval on the number line:\r\n" );
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document.write( "-------o===========o------\r\n" );
document.write( "-3 -2 -1  0  1  2  3  4  5      \r\n" );
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document.write( "In interval notation that's (-1, 3) \r\n" );
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document.write( "Edwin
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