document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149692>Question 149692</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534386172/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Thank you in advance for helping me with writing this problem in interval notation.  t-1/t-5<=2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109823 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=109823\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (t-1)/(t-5) <= 2<BR>\n" );
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document.write( "t cannot be 1 as then the left side would be zero.<BR>\n" );
document.write( "t cannot be 5 as then the left side would be undefined.<BR>\n" );
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document.write( "Solve the equality:<BR>\n" );
document.write( "(t-1) = 2t-10<BR>\n" );
document.write( "t = 9 (this is a piece of the solution)<BR>\n" );
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document.write( "Draw a number line and mark t = 1, t = 5 and t = 9.<BR>\n" );
document.write( "Now check a test point from each of the resulting number-line intervals<BR>\n" );
document.write( "to see where the solutions are:<BR>\n" );
document.write( "Checking t=0 you get (0-1)/(0-5) < 2 ; true, so solutions in (-inf,1)<BR>\n" );
document.write( "Checking t=2 you get (2-1)/(2-5) < 2 : true, so solutions in (1,5)<BR>\n" );
document.write( "Checking t=8 you get(8-1)/(8-5) < 2; false, so no solutions in (5,9)<BR>\n" );
document.write( "Checking t=10 you get (10-1)/(10-5) < 2; true, so solutions in [9,+inf)<BR>\n" );
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document.write( "Final solution: (-inf,1)U(1,5),[9,+inf)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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