document.write( "Question 1180732: |7x-3|≤18 \n" ); document.write( "
Algebra.Com's Answer #810498 by ikleyn(52908)\"\" \"About 
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document.write( "The given inequality  | 7x-3 | <= 18  means that  BOTH THESE TWO inequalities are valid\r\n" );
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document.write( "    7x - 3 <= 18    (1)\r\n" );
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document.write( "AND\r\n" );
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document.write( "    -(7x-3) <= 18   (2)\r\n" );
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document.write( "Inequality (1) implies that\r\n" );
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document.write( "    7x <= 18 + 3 = 21,  x <= 3.\r\n" );
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document.write( "Inequality (2) implies that\r\n" );
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document.write( "    -7x <= 18 - 3 = 15,  7x >= -15  (notice that I changed the sign in both sides \r\n" );
document.write( "                                     and changed the inequality sign for the opposite one),   \r\n" );
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document.write( "                                    x >= \"-15%2F7\".\r\n" );
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document.write( "So, the final answer is  the INTERSETION of both partial solution sets  \"-15%2F7\" <= x <= 3.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see many other similar and different SOLVED problems on absolute value equations,  look into the lesson\r
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