document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147567>Question 147567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2<3x<9\r<BR>\n" );
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document.write( "solve the solution and graph it </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107952 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=107952\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%3C3x%3C9 ALIGN=MIDDLE  ALT=\"2%3C3x%3C9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  First take each part of the inequality separately. Let's start with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%3C9 ALIGN=MIDDLE  ALT=\"3x%3C9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Divide by three and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C3 ALIGN=MIDDLE  ALT=\"x%3C3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  To graph it, first do the graph of x=3.\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=describe_linear_equation.solver>DESCRIBE a linear EQUATION: slope, intercepts, etc</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>this equation defines a vertical line. <BR>\n" );
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document.write( "    <LI> X intercept: 3. X intercept is the intersection of the line with the x axis. </LI><BR>\n" );
document.write( "    <LI> Y intercept: not defined (the line IS vertical)</LI><BR>\n" );
document.write( "    <LI> Slope: not defined, can be thought of as infinite</LI><BR>\n" );
document.write( "  </UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+3-5%2C+3%2B5%2C+-10%2C+10%2C+1000000x-1000000%2A3+%29+ ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+3-5%2C+3%2B5%2C+-10%2C+10%2C+1000000x-1000000%2A3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
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document.write( "Now deal with the other side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%3C3x ALIGN=MIDDLE  ALT=\"2%3C3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Divide both sides by three and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3%3Cx ALIGN=MIDDLE  ALT=\"2%2F3%3Cx\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E2%2F3 ALIGN=MIDDLE  ALT=\"x%3E2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Now, draw the line for x=2/3 on the same graph as x=3.\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=describe_linear_equation.solver>DESCRIBE a linear EQUATION: slope, intercepts, etc</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>this equation defines a vertical line. <BR>\n" );
document.write( "  <UL><BR>\n" );
document.write( "    <LI> X intercept: 0.666666666666667. X intercept is the intersection of the line with the x axis. </LI><BR>\n" );
document.write( "    <LI> Y intercept: not defined (the line IS vertical)</LI><BR>\n" );
document.write( "    <LI> Slope: not defined, can be thought of as infinite</LI><BR>\n" );
document.write( "  </UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+0.666666666666667-5%2C+0.666666666666667%2B5%2C+-10%2C+10%2C+1000000x-1000000%2A0.666666666666667+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
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document.write( "Then simply erase parts of both lines to dot them to show that x does not include those values.  Now shade the area between the lines. You are done graphing the inequality <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%3C3x%3C9 ALIGN=MIDDLE  ALT=\"2%3C3x%3C9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  \r<BR>\n" );
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document.write( "If you still need help: http://www.algebra.com/algebra/homework/Graphs/Inequalities-Made-Easy.lesson </SPAN>\n" );
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