document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=280494>Question 280494</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Choose the answer that lists all the quadrants in which the solution points are located for this system of inequalities: <BR>\n" );
document.write( "2x + y <= 6 <BR>\n" );
document.write( "y >= 1 \r<BR>\n" );
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document.write( " Quadrants 1 and 2 \r<BR>\n" );
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document.write( " Quadrants 1,2 and 4 \r<BR>\n" );
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document.write( " Quadrants 2 and 3 \r<BR>\n" );
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document.write( " Quadrants 2 and 4 <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 #203889 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=203889\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y >- 1 puts the answer in quadrants 1 and 2.\r<BR>\n" );
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document.write( "2x + y <= 6 needs to be converted to get y on the left side of the equation and the x's on the right sides of the equation.\r<BR>\n" );
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document.write( "2x + y <= 6 is the original equation.\r<BR>\n" );
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document.write( "subtract 2x from both sides of the equation to get:\r<BR>\n" );
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document.write( "y <= -2x + 6\r<BR>\n" );
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document.write( "if x is 0, this equation becomes y <= 6<BR>\n" );
document.write( "if x is 1, this equation becomes y <= 4<BR>\n" );
document.write( "y is defiitely in the first quadrant.<BR>\n" );
document.write( "if x is -1, this equation becomes y <= 8<BR>\n" );
document.write( "y is definitely in the second quadrant.\r<BR>\n" );
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document.write( "Looks like your answer will be first and second quadrant.\r<BR>\n" );
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document.write( "A graph of both equations is shown below:\r<BR>\n" );
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document.write( "The equations are:\r<BR>\n" );
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document.write( "y >= 1<BR>\n" );
document.write( "y <= -2x + 6\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph+%28600%2C600%2C-10%2C10%2C-10%2C10%2C1%2C-2x%2B6%29 ALIGN=MIDDLE  ALT=\"graph+%28600%2C600%2C-10%2C10%2C-10%2C10%2C1%2C-2x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The shaded region is anything on or above the line y = 1, and anything on or below the line y = -2x + 6.\r<BR>\n" );
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document.write( "The shaded region is in quadrants 1 and 2.\r<BR>\n" );
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document.write( "The shaded region can never be in quadrants 3 and 4 because the value of y has to be greater than 1. </SPAN>\n" );
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