document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=700985>Question 700985</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can the graphs of two linear inequalities be drawn with the given intersection?  It would be great if you would answer the question for all four intersections given.\r<BR>\n" );
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document.write( "a.  a point\r<BR>\n" );
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document.write( "&#8232;b.  a line\r<BR>\n" );
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document.write( "&#8232;c.  a region\r<BR>\n" );
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document.write( "&#8232;d.  no intersection<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #432125 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=432125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Yes for all.\r<BR>\n" );
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document.write( "a.  You need a pair of single variable inequalities in the same variable such that the intersection of the solution set is a single value.  If you are restricted to two-variable inequalities, then the answer is No, the solution set cannot consist of a single point. <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\ \leq\ 1\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\ \geq\ 1\"> for example. \r<BR>\n" );
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document.write( "b.  You need a pair of two-variable linear inequalities such that both boundary lines are included in the solution set of each and the intersection of the two solution sets is the boundry line.   <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y\ \leq\ x\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y\ \geq\ x\"> for example.\r<BR>\n" );
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document.write( "d.  (purposely out of order).  You need a pair of two-variable linear inequalities such that the boundary lines are parallel lines and the intersection of the two solution sets is the empty set.  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y\ \geq\ x\ +\ 1\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y\ \leq\ x\ -\ 1\"> for example.\r<BR>\n" );
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document.write( "c.  Any pair of two-variable linear inequalities that do not fit the criteria of b and d above.   <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\ -\ y\ >\ 3\">  and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\ +\ y\ <\ 5\"> for example.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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