document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=376314>Question 376314</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, Could you please help me with graphing the following equations? I need examples to study from as I am totally lost on how to graph. Thank you so much !<BR>\n" );
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document.write( "Graph the following equations \r<BR>\n" );
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document.write( "1.)  x > 0\r<BR>\n" );
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document.write( "2.)  x  less then or equal to -5\r<BR>\n" );
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document.write( "3.)  -2x + 3 less then or equal to 9\r<BR>\n" );
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document.write( "4.)  -3(x - 4)> 4(x + 3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #267722 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=267722\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> These aren't equations. They are inequalities.\r<BR>\n" );
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document.write( "# 1\r<BR>\n" );
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document.write( "Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E0 ALIGN=MIDDLE  ALT=\"x%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Note: there's an open circle at x=0\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C80%2C-10%2C+10%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-10%2C+10%29%2C%0D%0A%0D%0Aarrow%280%2C0%2C10%2C0%29%2C%0D%0Aarrow%280%2C0.30%2C10%2C0.30%29%2C%0D%0Aarrow%280%2C0.15%2C10%2C0.15%29%2C%0D%0Aarrow%280%2C-0.15%2C10%2C-0.15%29%2C%0D%0Aarrow%280%2C-0.30%2C10%2C-0.30%29%2C%0D%0A%0D%0Acircle%280%2C0%2C0.3%29%2C%0D%0Acircle%280%2C0%2C0.3%29%2C%0D%0Acircle%280%2C0%2C0.3%29%2C%0D%0Acircle%280%2C0%2C0.3-0.02%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "--------------------------------------------------------\r<BR>\n" );
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document.write( "# 2\r<BR>\n" );
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document.write( "Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C=-5 ALIGN=MIDDLE  ALT=\"x%3C=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Note: there's an closed circle at x=-5\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C80%2C-15%2C+5%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-15%2C+5%29%2C%0D%0A%0D%0A%0D%0Aarrow%28-5%2C0%2C-15%2C0%29%2C%0D%0Aarrow%28-5%2C0.30%2C-15%2C0.30%29%2C%0D%0Aarrow%28-5%2C0.15%2C-15%2C0.15%29%2C%0D%0Aarrow%28-5%2C-0.15%2C-15%2C-0.15%29%2C%0D%0Aarrow%28-5%2C-0.30%2C-15%2C-0.30%29%2C%0D%0A%0D%0A%0D%0A%0D%0A%0D%0Acircle%28-5%2C0%2C0.2%29%2C%0D%0Acircle%28-5%2C0%2C0.15%29%2C%0D%0Acircle%28-5%2C0%2C0.1%29%2C%0D%0Acircle%28-5%2C0%2C0.2-0.02%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "# 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%2B3%3C=9 ALIGN=MIDDLE  ALT=\"-2x%2B3%3C=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given inequality.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%3C=9-3 ALIGN=MIDDLE  ALT=\"-2x%3C=9-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%3C=6 ALIGN=MIDDLE  ALT=\"-2x%3C=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=%286%29%2F%28-2%29 ALIGN=MIDDLE  ALT=\"x%3E=%286%29%2F%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. note: Remember, the inequality sign flips when we divide both sides by a negative number. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=-3 ALIGN=MIDDLE  ALT=\"x%3E=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=-3 ALIGN=MIDDLE  ALT=\"x%3E=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "The graph looks like \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C80%2C-13%2C+7%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-13%2C+7%29%2C%0D%0A%0D%0Aarrow%28-3%2C0%2C7%2C0%29%2C%0D%0Aarrow%28-3%2C0.30%2C7%2C0.30%29%2C%0D%0Aarrow%28-3%2C0.15%2C7%2C0.15%29%2C%0D%0Aarrow%28-3%2C-0.15%2C7%2C-0.15%29%2C%0D%0Aarrow%28-3%2C-0.30%2C7%2C-0.30%29%2C%0D%0A%0D%0Acircle%28-3%2C0%2C0.2%29%2C%0D%0Acircle%28-3%2C0%2C0.15%29%2C%0D%0Acircle%28-3%2C0%2C0.1%29%2C%0D%0Acircle%28-3%2C0%2C0.2-0.02%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " Note: there's an closed circle at x=-3\r<BR>\n" );
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document.write( "----------------------------------------------------------------------\r<BR>\n" );
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document.write( "# 4\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%28x-4%29%3E4%28x%2B3%29 ALIGN=MIDDLE  ALT=\"-3%28x-4%29%3E4%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given inequality.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%2B12%3E4x%2B12 ALIGN=MIDDLE  ALT=\"-3x%2B12%3E4x%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%3E4x%2B12-12 ALIGN=MIDDLE  ALT=\"-3x%3E4x%2B12-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x-4x%3E12-12 ALIGN=MIDDLE  ALT=\"-3x-4x%3E12-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x ALIGN=MIDDLE  ALT=\"4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7x%3E12-12 ALIGN=MIDDLE  ALT=\"-7x%3E12-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7x%3E0 ALIGN=MIDDLE  ALT=\"-7x%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%280%29%2F%28-7%29 ALIGN=MIDDLE  ALT=\"x%3C%280%29%2F%28-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7 ALIGN=MIDDLE  ALT=\"-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. note: Remember, the inequality sign flips when we divide both sides by a negative number. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C0 ALIGN=MIDDLE  ALT=\"x%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C0 ALIGN=MIDDLE  ALT=\"x%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Here's the graph of the solution set\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C80%2C-10%2C+10%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-10%2C+10%29%2C%0D%0A%0D%0A%0D%0Aarrow%280%2C0%2C-10%2C0%29%2C%0D%0Aarrow%280%2C0.30%2C-10%2C0.30%29%2C%0D%0Aarrow%280%2C0.15%2C-10%2C0.15%29%2C%0D%0Aarrow%280%2C-0.15%2C-10%2C-0.15%29%2C%0D%0Aarrow%280%2C-0.30%2C-10%2C-0.30%29%2C%0D%0A%0D%0A%0D%0A%0D%0A%0D%0Acircle%280%2C0%2C0.3%29%2C%0D%0Acircle%280%2C0%2C0.3%29%2C%0D%0Acircle%280%2C0%2C0.3%29%2C%0D%0Acircle%280%2C0%2C0.3-0.02%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note: there's an open circle at x=0\r<BR>\n" );
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document.write( "If you need more help, email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com?Subject=Algebra%20Help\">jim_thompson5910@hotmail.com</a>\r<BR>\n" );
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document.write( "Also, feel free to check out my <a  rel=nofollow HREF=\"http://www.freewebs.com/jimthompson5910/home.html\">tutoring website</a>\r<BR>\n" );
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document.write( "Jim </SPAN>\n" );
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