document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198927>Question 1198927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Translate into a variable expression. Then simplify the expression.\r<BR>\n" );
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document.write( "a number decreased by the difference between nine and the number </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832600 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=832600\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> to find the difference, you would subtract the smaller number from the larger number.\r<BR>\n" );
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document.write( "if x is larger than 9, then x - (x - 9) = 9\r<BR>\n" );
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document.write( "if x is smaller than 9, then x - (9-x) = 2x - 9\r<BR>\n" );
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document.write( "example 1:<BR>\n" );
document.write( "x is equal to 5<BR>\n" );
document.write( "since x is less than 9, you get x - (9-x) becomes 5 - (9-5) which becomes 5 - 4 which becomes 1.\r<BR>\n" );
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document.write( "example 2:<BR>\n" );
document.write( "x is equal to 15<BR>\n" );
document.write( "since x is larger than 9, you get x - (x - 9) which becomes 15 - (15 - 9) which becomes 15 - 6 which becomes 9.\r<BR>\n" );
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document.write( "you can also use an absolute value expression.\r<BR>\n" );
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document.write( "youc could get x - |x - 9|<BR>\n" );
document.write( "if (x - 9) is positive, then this becomes x - (x - 9)<BR>\n" );
document.write( "if (x - 9) is negative, then this becomes x + (x - 9)<BR>\n" );
document.write( "note that, if x = 15, then (x - 9) is positive and if x = 5, then (x - 9) is negative.<BR>\n" );
document.write( "you would get 15 - (15 - 9) = 9 because (x - 9) is positive.<BR>\n" );
document.write( "you would get 5 + (5 - 9) = 1 because (x - 9) is negative.\r<BR>\n" );
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document.write( "let me know if you have any questions.<BR>\n" );
document.write( "theo\r<BR>\n" );
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