document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=227119>Question 227119</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system |y|>/= 2 |x|</= 1.<BR>\n" );
document.write( "I think it might be no solution, but I'm not sure. Can someone please help? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #168896 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=168896\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Not sure what your equation is.\r<BR>\n" );
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document.write( "|y| >= 2 has a solution.\r<BR>\n" );
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document.write( "The solution is y >= 2 or y <= -2\r<BR>\n" );
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document.write( "|x| <= 1 also has a solution.\r<BR>\n" );
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document.write( "The solution is -1 <= x <= 1\r<BR>\n" );
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document.write( "|y| >= 2*|x| also has a solution.\r<BR>\n" );
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document.write( "The solution is y >= 2*|x| or y <= -2*|x|\r<BR>\n" );
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document.write( "I could go further but it would get more complicated and you might not need to do so.\r<BR>\n" );
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document.write( "In order to test the solutions out, you need to put in test cases where the value of y is within limits and the value of y is out of limits to see if the equations hold true or not.\r<BR>\n" );
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document.write( "Let's take |y| >= 2\r<BR>\n" );
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document.write( "Let y = -3, -2, 0, 1, 2, 3<BR>\n" );
document.write( "We get |y| equal to 3, 2, 0, 1, 2, 3<BR>\n" );
document.write( "|y| >= 2 when y = -3, -2, 2, 3 which is consistent with our requirements that y >= 2 or y <= -2.\r<BR>\n" );
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document.write( "Let's take |x| <= 1\r<BR>\n" );
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document.write( "Let x = -2, -1, 0, 1, 2<BR>\n" );
document.write( "Then |x| = 2, 1, 0, 1, 2<BR>\n" );
document.write( "|x| <= 1 when x = -1, 0, 1 which is consistent with our requirements that -1 <= x <= 1\r<BR>\n" );
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document.write( "Let's take |y| >= 2*|x|\r<BR>\n" );
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document.write( "Let |x| = 5<BR>\n" );
document.write( "This means that 2*|x| = 10\r<BR>\n" );
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document.write( "Let's take y = -15, -10, 0, 10, 15<BR>\n" );
document.write( "Then |y| = 15, 10, 0, 10, 15<BR>\n" );
document.write( "|y| >= 10 when y = -15, -10, 10, 15 which is consistent with out requirements that y <= -10 or y >= 10\r<BR>\n" );
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document.write( " </SPAN>\n" );
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