document.write( "Question 1203651: 4|2x+3|-7<9
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Algebra.Com's Answer #839385 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "They want you solve this inequality.\r\n" );
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document.write( "Move -7 to the right with changing the sign.  You will get\r\n" );
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document.write( "    4*|2x+3| < 9 + 7,  or\r\n" );
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document.write( "    4*|2x+3| < 16.\r\n" );
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document.write( "Divide both sides by 4.  You will get\r\n" );
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document.write( "    |2x+3| <4.\r\n" );
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document.write( "It means that\r\n" );
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document.write( "    -4 < 2x+3 < 4.\r\n" );
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document.write( "Move 3 from the central part to the left and to the right, changing the sign.  You will get  \r\n" );
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document.write( "    -4 - 3 < 2x < 4 - 3,\r\n" );
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document.write( "or\r\n" );
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document.write( "    -7 < 2x < 1.\r\n" );
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document.write( "Divide everything by 2.  You will get\r\n" );
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document.write( "    -3.5 < x < 0.5.\r\n" );
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document.write( "It is your ANSWER:  the solution set is  -3.5 < x < 0.5,  or the interval (-3.5,0.5),\r\n" );
document.write( "which does not include the endpoints.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see many other similar and different SOLVED problems on absolute value inequalities, look into the lesson\r
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