document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183788>Question 1183788</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Johnny drops his kids off at his parents’ house (which is 6 miles from his house), goes to work, goes back to pick up his kids, and heads home.  All of these locations are on the same straight road.  If Johnny wants to keep his daily driving within 35 miles, how far from his parents’ house can his place of work be?  Write an absolute value inequality and solve. </SPAN>\n" );
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document.write( "Informally, since the locations are in the same straight line, and the distances in both directions are the same, he wants to keep his distance from work less than 35/2=17.5 miles.<br><BR>\n" );
document.write( "Then, since his parents' house is 6 miles from his house, the distance from is parents' house to work has to be less than 17.5-6=11.5 miles<br><BR>\n" );
document.write( "Formally, as the problem requests....<br><BR>\n" );
document.write( "x = distance from his parents' house to work<br><BR>\n" );
document.write( "6+x+x+6 <=35<BR>\n" );
document.write( "2x+12 <= 35<BR>\n" );
document.write( "2x <= 23<BR>\n" );
document.write( "x <= 11.5<br><BR>\n" );
document.write( "ANSWER: His parents' house must be within 11.5 miles of his work.<br><BR>\n" );
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