document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1019710>Question 1019710</A>: <I><SPAN STYLE=\"word-break: break-all;\"> |x|>k is equivalent to?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #635651 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=635651\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe the answer is going to be x < -k and x > k\r<BR>\n" );
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document.write( "here's how to figure.\r<BR>\n" );
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document.write( "start with abs(x) > k\r<BR>\n" );
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document.write( "abs(x) means the same as |x| which means absolute value of x.\r<BR>\n" );
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document.write( "so start with abs(x) > k.\r<BR>\n" );
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document.write( "now abs(x) is equal to x if x > 0 and abs (x) is equal to -x if x < 0.\r<BR>\n" );
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document.write( "therefore:\r<BR>\n" );
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document.write( "abs(x) > k can be broken up into two equations, one where x is greater than 0 and one where x is smaller than 0.\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "-x > k when x is smaller than 0, and x > k when x is greater than 0.\r<BR>\n" );
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document.write( "when x is smaller than 0, the equation of -x > k is solved for x as follows:\r<BR>\n" );
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document.write( "start with -x > k<BR>\n" );
document.write( "multiply both sides of this equation by -1 to get x < -k.<BR>\n" );
document.write( "when you multiply both sides of an inequality by a negative number, the inequality reverses.<BR>\n" );
document.write( "so, when x < 0, you get x < -k.\r<BR>\n" );
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document.write( "when x is greater than 0, the equation of x > k is solved for x as follows:\r<BR>\n" );
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document.write( "start with x > k<BR>\n" );
document.write( "you're done since the equation has already been solved.\r<BR>\n" );
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document.write( "so you have x < -k or x > k.\r<BR>\n" );
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document.write( "in interval notation, this solution would be shown as (-infinity,-k) union (k,infinity).\r<BR>\n" );
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document.write( "if you were able to graph this inequality, you would get a graph that looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/021404.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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