document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=437859>Question 437859</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph 2x + 4y < 8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #302883 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=302883\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve this inequality, we graph the linear equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B4y=8 ALIGN=MIDDLE  ALT=\"2x%2B4y=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To graph this linear equation we find the x and y-intercepts.\r<BR>\n" );
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document.write( " To find the y-intercept we make x=0:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A0%2B4y=8 ALIGN=MIDDLE  ALT=\"2%2A0%2B4y=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2 ALIGN=MIDDLE  ALT=\"y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,we have (0, 2)\r<BR>\n" );
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document.write( "To find the x-intercept we make y=0:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ax%2B4%2A0=8 ALIGN=MIDDLE  ALT=\"2%2Ax%2B4%2A0=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,we have (4, 0)\r<BR>\n" );
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document.write( "Plot these two points on coordinative system and draw the straight line through them as in figure.<BR>\n" );
document.write( "To determine which half-plane is the solution we choose a test point (0,0) and plug it in the inequality:2*0+4*0<8 => 0<8,this point satisfy the inequality, therefore the half-plane which contain the point (0,0) is the solution.See the shadow area on the figure.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C+300%2C+-5%2C+10%2C+-5%2C+7%2C+2x%2B4y%3C8%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C+300%2C+-5%2C+10%2C+-5%2C+7%2C+2x%2B4y%3C8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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