document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=220537>Question 220537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help solve this inequality:  7y-12<8y+15<BR>\n" );
document.write( "and i have to 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 #165534 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=165534\">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=7y-12%3C8y%2B15 ALIGN=MIDDLE  ALT=\"7y-12%3C8y%2B15\"   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=7y%3C8y%2B15%2B12 ALIGN=MIDDLE  ALT=\"7y%3C8y%2B15%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7y-8y%3C15%2B12 ALIGN=MIDDLE  ALT=\"7y-8y%3C15%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8y ALIGN=MIDDLE  ALT=\"8y\"   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=-y%3C15%2B12 ALIGN=MIDDLE  ALT=\"-y%3C15%2B12\"   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=-y%3C27 ALIGN=MIDDLE  ALT=\"-y%3C27\"   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=y%3E%2827%29%2F%28-1%29 ALIGN=MIDDLE  ALT=\"y%3E%2827%29%2F%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   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=y%3E-27 ALIGN=MIDDLE  ALT=\"y%3E-27\"   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=y%3E-27 ALIGN=MIDDLE  ALT=\"y%3E-27\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the answer in interval notation is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(-27,\infty\right)\">\r<BR>\n" );
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document.write( "Also, the answer in set-builder notation is  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left\{y\|y>-27\right\}\">\r<BR>\n" );
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document.write( "Here's the graph of the solution set on a number line:\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-37%2C+-17%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-37%2C+-17%29%2C%0D%0A%0D%0Aarrow%28-27%2C0%2C-17%2C0%29%2C%0D%0Aarrow%28-27%2C0.30%2C-17%2C0.30%29%2C%0D%0Aarrow%28-27%2C0.15%2C-17%2C0.15%29%2C%0D%0Aarrow%28-27%2C-0.15%2C-17%2C-0.15%29%2C%0D%0Aarrow%28-27%2C-0.30%2C-17%2C-0.30%29%2C%0D%0A%0D%0Acircle%28-27%2C0%2C0.3%29%2C%0D%0Acircle%28-27%2C0%2C0.3%29%2C%0D%0Acircle%28-27%2C0%2C0.3%29%2C%0D%0Acircle%28-27%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 is an open circle at the endpoint. </SPAN>\n" );
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