document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=90117>Question 90117</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If points A,B, and C lie on a coordinate line and points A and B have coordinates 15 and 7 respectively, then which of the possible coordinates for point C satisfy(ies) d(A,C) <d(B,C)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #65431 by </B><A HREF=/tutors/aboutme.mpl?userid=kamallohia><B>kamallohia(18)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=kamallohia><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=65431\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If points A,B, and C lie on a coordinate line and points A and B have coordinates 15 and 7 respectively, then which of the possible coordinates for point C satisfy(ies) d(A,C) <d(B,C)?\r<BR>\n" );
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document.write( "Here goes the solution.<BR>\n" );
document.write( "Let x be the co-ordinate of point C then d(AC)=x-15,<BR>\n" );
document.write( "and d(BC)=x-7 if x>7,15<BR>\n" );
document.write( "then as given, (x-15)>(x-7)=> which can't be true for x>15<BR>\n" );
document.write( "So let's assume 7<x<15<BR>\n" );
document.write( "hence (15-x)<(x-7) => 2x>22 => x>11.<BR>\n" );
document.write( "Now if x<7,15<BR>\n" );
document.write( "then, (15-x)<(7-X) => which can't be true for x<7<BR>\n" );
document.write( "Hence solution set is 11>x>15.<BR>\n" );
document.write( "Hope this is clear.<BR>\n" );
document.write( "Kamal Lohia </SPAN>\n" );
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