document.write( "Question 1208191: MANUFACTURING A hardware store sells bags of rock salt that are labeled as weighing 35 pounds. The equipment used to package the salt produces bags with a weight that is within 8 ounces of the label weight.\r
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document.write( "Write an absolute value equation to determine the maximum and minimum weights for the bag of rock salt. Let x represent the weight of the bag, in pounds. \n" );
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Algebra.Com's Answer #846436 by ikleyn(52798)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "MANUFACTURING A hardware store sells bags of rock salt that are labeled as weighing 35 pounds. \n" ); document.write( "The equipment used to package the salt produces bags with a weight that is within 8 ounces of the label weight. \n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "Write an absolute value equation to determine the maximum and minimum weights \n" ); document.write( "for the bag of rock salt. Let x represent the weight of the bag, in pounds. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The question in the problem is posed INCORRECTLY.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The correct question should ask about an absolute value INEQUALITY - - - not about an absolute value equation.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "8 ounces = 0.5 of a pound.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "An absolute value inequality for this problem is\r\n" ); document.write( "\r\n" ); document.write( " |x - 35| <= 0.5. \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is the ANSWER to the first question. \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "This absolute value inequality is equivalent to this compounded inequality\r\n" ); document.write( "\r\n" ); document.write( " -0.5 <= x - 35 <= 0.5\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Add 35 to all three terms of the inequality and get the solution\r\n" ); document.write( "\r\n" ); document.write( " 34.5 <= x <= 35.5.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "34.5 pounds and 35.5 pounds are the minimum and the maximum of the weight in a bag.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is the ANSWER to the second question. \r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved completely.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " This my solution is a standard mathematical mantra \n" ); document.write( " to pronounce when solving such problems.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Use it to solve million other similar problems.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |