document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1035105>Question 1035105</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The diagram below shows the graph of which inequality?<BR>\n" );
document.write( "http://prntscr.com/b5x90z : link to picture of diagram.\r<BR>\n" );
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document.write( "a. y > x - 1<BR>\n" );
document.write( "b. y &#8805; x - 1 <BR>\n" );
document.write( "c. y < x - 1<BR>\n" );
document.write( "d. y &#8804; x - 1<BR>\n" );
document.write( " Can you please explain how you know, I know that if the line in the graph is filled in then the greater/less than sign has a line underneath, so its down to options b and d. I also know that if the statement is false, the half-plane containing the origin is not part of the solution, and you shade the other half. My problem is I don't understand when to use > or <.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649775 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=649775\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first step is to graph the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x-1 ALIGN=MIDDLE  ALT=\"y=x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The line breaks the plane into two regions. <BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "So then if you have an inequality, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E=x-1 ALIGN=MIDDLE  ALT=\"y%3E=x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, it would be shade the region above the line and include the line. You're choosing y values above the line for each x value. Equally if it was, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C=x-1 ALIGN=MIDDLE  ALT=\"y%3C=x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, it would be shade the region below the line and also include the line. You;re choosing y values below the line for each given x value.<BR>\n" );
document.write( "Additionally, if it doesn't include the equal sign, it would not include the line. <BR>\n" );
document.write( "So its the region below the line and since the line is solid it would include the line.<BR>\n" );
document.write( "So then the answer is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C=x-1 ALIGN=MIDDLE  ALT=\"y%3C=x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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