document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=685710>Question 685710</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I graph the solution set of the inequality:<BR>\n" );
document.write( "x/4+y/2>1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #424538 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=424538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Step One: solve for y<BR>\n" );
document.write( "Multiply the entire inequality by 8 to remove the fraction (LCM of 4 and 2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%28x%2F4%29+%2B+8%28y%2F2%29%3E8%281%29 ALIGN=MIDDLE  ALT=\"8%28x%2F4%29+%2B+8%28y%2F2%29%3E8%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2x+4y>8<BR>\n" );
document.write( "Isolate the y variable<BR>\n" );
document.write( "4y > -2x + 8<BR>\n" );
document.write( "Divide both sides by 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%3E+%28-2%2F4%29x+%2B+8%2F4 ALIGN=MIDDLE  ALT=\"y+%3E+%28-2%2F4%29x+%2B+8%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y%3E%28-1%2F2%29x%2B2%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y%3E%28-1%2F2%29x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ==> this is the linear equation for the inequality.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Step Two: intercepts<BR>\n" );
document.write( "y intercept<BR>\n" );
document.write( "the y intercept is 2<BR>\n" );
document.write( "plot (0, 2)<BR>\n" );
document.write( "x intercept<BR>\n" );
document.write( "the x intercept is where y = 0<BR>\n" );
document.write( "0 = (-1/2)x + 2<BR>\n" );
document.write( "-2 = (-1/2)x<BR>\n" );
document.write( "x = 4<BR>\n" );
document.write( "plot (4, 0)<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Step Three: graph the inequality<BR>\n" );
document.write( "Since y is greater than, not greater than or equal to, the line must be dashed to NOT include the points on the line. (if it were <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E=%28-1%2F2%29x%2B2 ALIGN=MIDDLE  ALT=\"y%3E=%28-1%2F2%29x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > for example, then the line would be solid)<BR>\n" );
document.write( "Shade the area above the line, since y is greater than.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "The solution is any coordinates in the shaded region above the dashed line.<BR>\n" );
document.write( "..............................<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );