document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=100854>Question 100854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Describe the graph of 3x+y<1<BR>\n" );
document.write( "a) a dotted line with shading below the boundary line 3x+y=1<BR>\n" );
document.write( "b) a solid line with shading abouve the boundary line 3x+y=1<BR>\n" );
document.write( "c) a solild line wtih shading below the boundary line 3x+y=1<BR>\n" );
document.write( "d) a dotted line with shading above the boundary line 3x+y=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73421 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=73421\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Describe the graph of 3x+y<1<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Solve for y: y <-3x+1<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "The boundary of the solution set is y=3x+1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-3x%2B1%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-3x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Take a test point that is not on the boundary, like (0,0)<BR>\n" );
document.write( "Substitute the x and y values of the test point into the<BR>\n" );
document.write( "inequality: 0 < 0 +1<BR>\n" );
document.write( "This is false, so the half-plane solution set for the <BR>\n" );
document.write( "inequality is on the side of the boundary that does not<BR>\n" );
document.write( "contain (0,0)-------------that would be the half-plane<BR>\n" );
document.write( "above the boundary line.<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Note the boundary line is NOT part of the solution set because<BR>\n" );
document.write( "equality is not stated in the original equation.<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "The solution is \"d\".<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );