document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=138571>Question 138571</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph the inequality on a plane.<BR>\n" );
document.write( "y > 4x\r<BR>\n" );
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document.write( "HELP please. Not sure how to do this this is new to me. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101167 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=101167\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To graph inequalities,  you first need to know the plot the equality. \r<BR>\n" );
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document.write( "When you get ready to plot the equality, you need to decide if the drawing is made with a solid line or a dashed line. If the given equation contains an equal sign (=, >= or <=) then the drawing you make includes a solid line. In this case, the given equation does not include an = ign, so when we get ready to draw, we will use a dashed line.\r<BR>\n" );
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document.write( "Now let's find what that drawing should be.<BR>\n" );
document.write( "Given : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%3E+4x ALIGN=MIDDLE  ALT=\"y+%3E+4x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+4x ALIGN=MIDDLE  ALT=\"y+=+4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > I'll assume you know how to plot a line by using a table or knowing slope/intercept. Let's use a table, just in case you don;t know slope intercept. <BR>\n" );
document.write( "x=0, yields y=0<BR>\n" );
document.write( "x=1, yields y=4  we now have enough information to draw our line.\r<BR>\n" );
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document.write( "1)Plot the points (0,0) and (1,4).<BR>\n" );
document.write( "2)Draw in the dashed line that includes those two points. Make sure to draw a line, not just the segment (the little piece) between the points.\r<BR>\n" );
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document.write( "So now we have a dashed line rising left to right that cuts the plane into two halves.<BR>\n" );
document.write( "3)Look at the original inequality to decide which side of the line applies. In our problem, y is \"greater than\". So any y that lies 'above' the dashed line is a solution to the given inequality.\r<BR>\n" );
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document.write( "This site does not have a nice way to graph inequalities. But if you look at the line below, make it dashed and then crosshatch the area above the line, you will have your graph.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C400%2C-10%2C10%2C-10%2C10%2C4x%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C400%2C-10%2C10%2C-10%2C10%2C4x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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