document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204172>Question 204172</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each inequality. Graph each solution set.\r<BR>\n" );
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document.write( "The absolute value of x is greater than x-1.\r<BR>\n" );
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document.write( "I can see that the answer is all reals (by plugging in various numbers from either end of the number line), but how is the equation solved mathmatically?\r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "Stella M. Hoy\r<BR>\n" );
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document.write( "P.S. This question comes from a worksheet. Glencoe/McGraw-Hill Student Edition Pages 49-54 Practice 1-7 T7 question #10 (Summer Work). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154132 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=154132\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The absolute value of x is greater than x-1. <BR>\n" );
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document.write( "|x| > x-1<BR>\n" );
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document.write( "Solve the EQUALITY:<BR>\n" );
document.write( "|x| = x-1<BR>\n" );
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document.write( "x = x-1 <BR>\n" );
document.write( "0 = -1 <BR>\n" );
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document.write( "This tells you there are no solutions for the EQUALITY:<BR>\n" );
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document.write( "Check any value of x in the inequality:<BR>\n" );
document.write( "x = 1/2<BR>\n" );
document.write( "|1/2| > (1/2)- s<BR>\n" );
document.write( "1/2 > (1/2)-1<BR>\n" );
document.write( "No matter what value you pick for \"x\", x-1 will be less than |x|<BR>\n" );
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document.write( "Graphing you see the solution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cabs%28x%29%2Cx-1%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cabs%28x%29%2Cx-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Solution: All Real Numbers<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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