document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212510>Question 212510</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need help doing inequalities and then graphing them <BR>\n" );
document.write( "for example -7k<63 or 8a-15>73 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160492 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=160492\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  -7k<63 or 8a-15>73<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "-7k < 63<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "multiply both sides by -1 to get:<BR>\n" );
document.write( "7k > -63 (inequality reverses when you multiply both sides by -1).<BR>\n" );
document.write( "divide both sides by 7 to get:<BR>\n" );
document.write( "k > -9<BR>\n" );
document.write( "to graph this equation, substitute y for k.<BR>\n" );
document.write( "you get:<BR>\n" );
document.write( "y > -9<BR>\n" );
document.write( "you graph this equation by graphing y = -9 and then looking at the graph and seeing that any points above the line are what you are interested in.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "the graph looks like this:<BR>\n" );
document.write( "graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28200%2C200%2C-5%2C10%2C-15%2C3%2C-9%29 ALIGN=MIDDLE  ALT=\"graph%28200%2C200%2C-5%2C10%2C-15%2C3%2C-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the area above the graph is what you are interested in.<BR>\n" );
document.write( "the horizontal line is the graph of the equation of y = -9.<BR>\n" );
document.write( "the area above the line is when y > -9.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "example:<BR>\n" );
document.write( "when x = 5, y = -9.  y > -9 would be all points above the line which would be all points where y > -9.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "8a-15>73<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "add 15 to both sides of this equation to get:<BR>\n" );
document.write( "8a > 73 + 15 which equals:<BR>\n" );
document.write( "8a > 88<BR>\n" );
document.write( "divide both sides of this equation by 8 to get:<BR>\n" );
document.write( "a > 11<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "replace a with y to be able to graph this equation.<BR>\n" );
document.write( "you get:<BR>\n" );
document.write( "y > 11<BR>\n" );
document.write( "to graph this, you graph the equation of y = 11.<BR>\n" );
document.write( "your graph is a horizontal line at y = 11<BR>\n" );
document.write( "the graph looks like this:<BR>\n" );
document.write( "graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28200%2C200%2C-5%2C10%2C-3%2C15%2C11%29 ALIGN=MIDDLE  ALT=\"graph%28200%2C200%2C-5%2C10%2C-3%2C15%2C11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "since your equation is y > 11, then all points above this line are what you are interested in.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "example:<BR>\n" );
document.write( "let x = 5.  point on the line would be y = 11.  all points above the line would be all points when y > 11.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );