document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91604>Question 91604</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Water is in liquid state if its temperature, t(in degrees celsius), satisfies t-50<50. find the two solutions of t-50=50.what do the solutions represent? please help really confused never seen this before. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67340 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=67340\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I believe this problem should be that for water in a liquid state the Celsius temperature<BR>\n" );
document.write( "must satisfy the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28t-50%29+=+50 ALIGN=MIDDLE  ALT=\"abs%28t-50%29+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The absolute value signs mean that whatever is within the signs will be a positive value whether<BR>\n" );
document.write( "the quantity is negative or positive.<BR>\n" );
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document.write( "To solve this equation you form two equations ... one equation by treating the quantity inside<BR>\n" );
document.write( "the absolute value signs as positive and another equation by treating the quantity inside the<BR>\n" );
document.write( "absolute value signs as negative.  <BR>\n" );
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document.write( "One other rule that applies to inequalities is that you can solve them using the rules and<BR>\n" );
document.write( "processes that apply to equations with the exception that if you multiply or divide both<BR>\n" );
document.write( "sides by a negative quantity you need to reverse the direction of the inequality. <BR>\n" );
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document.write( "Let's apply this process to the equation of this problem. First, let's form an inequality<BR>\n" );
document.write( "by treating the quantity inside the absolute value signs as a positive quantity. With this <BR>\n" );
document.write( "process the inequality becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t-50%29%3C+50 ALIGN=MIDDLE  ALT=\"%28t-50%29%3C+50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Solve by getting rid of the -50 on the left side by adding +50 to both sides.  This makes<BR>\n" );
document.write( "the inequality become:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+-+50+%2B+50+%3C50+%2B+50 ALIGN=MIDDLE  ALT=\"t+-+50+%2B+50+%3C50+%2B+50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "After the addition the inequality simplifies to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+%3C+100 ALIGN=MIDDLE  ALT=\"t+%3C+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This is one answer. We will return to it in a bit. But first, let's set up a second <BR>\n" );
document.write( "inequality by treating the quantity inside the absolute value signs as a negative <BR>\n" );
document.write( "quantity.  When you do, the inequality becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28t+-+50%29+%3C+50 ALIGN=MIDDLE  ALT=\"-%28t+-+50%29+%3C+50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "get rid of the minus sign on the left by multiplying both sides by -1. And don't forget the<BR>\n" );
document.write( "rule that if you multiply (or divide) both sides of an inequality by a negative, you reverse<BR>\n" );
document.write( "the direction of the inequality sign. So multiplying this inequality by -1 makes it become:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t+-+50%29+%3E+-50 ALIGN=MIDDLE  ALT=\"%28t+-+50%29+%3E+-50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Solve this by adding +50 to both sides to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+%3E+0 ALIGN=MIDDLE  ALT=\"t+%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This is the second answer.<BR>\n" );
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document.write( "So looking at our two answers we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%3C100 ALIGN=MIDDLE  ALT=\"t%3C100\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+%3E+0 ALIGN=MIDDLE  ALT=\"t+%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this tells us that<BR>\n" );
document.write( "for water to be in the liquid state the Celsius temperature range of the water must be<BR>\n" );
document.write( "between 0 degrees C and 100 degrees C.  On the Celsius scale of temperatures, at 0 degrees C<BR>\n" );
document.write( "water freezes to ice and at 100 degrees C it boils and changes to steam. Therefore,<BR>\n" );
document.write( "again, if water is above 0 degrees C but below 100 degrees C it will be in the liquid<BR>\n" );
document.write( "state.<BR>\n" );
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document.write( "Hope this helps you to understand the problem and what it means.  And  hope the discussion<BR>\n" );
document.write( "of absolute value quantities makes some sense to you also.<BR>\n" );
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