document.write( "Question 741714: Dear Sir/Madam,\r
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Algebra.Com's Answer #852661 by ikleyn(53250)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "Dear Sir/Madam,
\n" ); document.write( "I do not know how to do this question:
\n" ); document.write( "|3x-5|=3x-5
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\n" ); document.write( "\n" ); document.write( "        Dear visitor,\r
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\n" ); document.write( "\n" ); document.write( "        first what I have to say,  looking at your post,  is that there is  NO  question in it.\r
\n" ); document.write( "\n" ); document.write( "        There is some equation,  but there is no question.\r
\n" ); document.write( "\n" ); document.write( "        So,  in order for this post makes sense,  I/we should create a question to it.\r
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\n" ); document.write( "\n" ); document.write( "        One reasonable question is  \" Find the set of solutions to this equation. \"\r
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\n" ); document.write( "\n" ); document.write( "        So,  I will assume that this is the question,  and I will give the solution in my post below.\r
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document.write( "Function  y = |3x-5|  has two branches.\r\n" );
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document.write( "(1)  At x >= 5/3,  this function is y = 3x-5,  and it coincides with the function 3x-5 in the right side \r\n" );
document.write( "     of the given equation.\r\n" );
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document.write( "     So, in the domain  x >= 5/3,  the given equation,  |3x-5| = 3x-5  has infinitely many solutions\r\n" );
document.write( "     that are the entire set  { x | x >= 5/3 }.\r\n" );
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document.write( "(2)  At x < 5/3,  this function y = |3x-5|  is positive,  while  3x-5  is negative.\r\n" );
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document.write( "     Therefore, in the domain x < 5/3,  the given equation has no one solution.\r\n" );
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document.write( "At this point, the analysis is complete.  The ANSWER  is\r\n" );
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document.write( "    +------------------------------------------------------------------------------------+\r\n" );
document.write( "    |   Equation  |3x-5| = 3x-5  has infinitely many solutions in the domain  x >= 5/3.  |\r\n" );
document.write( "    |                                                                                    |\r\n" );
document.write( "    |   All x's in this domain are the solutions to this equation.                       |\r\n" );
document.write( "    |                                                                                    |\r\n" );
document.write( "    |   In the domain  x < 5/3,  equation  |3x-5| = 3x-5  has no solutions.              |\r\n" );
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document.write( "    |   Thus, the solution set for the given equation is  { x |  x >= 5/3 }.             |\r\n" );
document.write( "    +------------------------------------------------------------------------------------+\r\n" );
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