document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036626>Question 1036626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a system of inequalities whose solution is represented by the shaded region shown on the graph at the right http://prntscr.com/bat1nx?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #651340 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=651340\">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( "First thing to do is write the equations of the boundary lines.\r<BR>\n" );
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document.write( "Note that the solid boundary line goes right one and up one, so the slope is +1.  And it intercepts the y-axis at (0,-3).  That gives us an <i>equation</i>, in slope-intercept form, of:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ x\ -\ 3\">\r<BR>\n" );
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document.write( "I'll leave derivation of the other equation to you.\r<BR>\n" );
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document.write( "Next is to determine which of the four inequality symbols is appropriate.  Since this is a solid line, the desired inequality is inclusive of equals, so you must use either <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \leq\"> or <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \geq\"> -- but which one?\r<BR>\n" );
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document.write( "Since the point (0,0) is located in the shaded half-plane with the equation we derived as a boundary, then substituting 0 for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\"> and 0 for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> should create a true statement if you have used the inequality symbol of the correct sense.  So which is correct?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 0\ \leq\ 0\ -\ 3\">\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 0\ \geq\ 0\ -\ 3\">\r<BR>\n" );
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document.write( "Find the correct symbol for the other inequality using the same process.  Remember, a dashed line excludes equality, so you need to decide between < and >. \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( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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