document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=100719>Question 100719</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%28x-3%29%3E5x-14 ALIGN=MIDDLE  ALT=\"7%28x-3%29%3E5x-14\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73330 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=73330\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Begin with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%28x-3%29%3E5x-14 ALIGN=MIDDLE  ALT=\"7%28x-3%29%3E5x-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "To solve, you can start with the equivalent equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%28x-3%29=5x-14 ALIGN=MIDDLE  ALT=\"7%28x-3%29=5x-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiplying to remove the parentheses:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x-21=5x-14 ALIGN=MIDDLE  ALT=\"7x-21=5x-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtracting 5x 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-21%3E-14 ALIGN=MIDDLE  ALT=\"2x-21%3E-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Adding 21 to both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=7 ALIGN=MIDDLE  ALT=\"2x=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7%2F2 ALIGN=MIDDLE  ALT=\"x=7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which may be stated as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3.5 ALIGN=MIDDLE  ALT=\"x=3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > if you wanted.\r<BR>\n" );
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document.write( "Now we return to the original inequality, and see that our answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E7%2F2 ALIGN=MIDDLE  ALT=\"x%3E7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Returning to the original equation, we can check a few values.\r<BR>\n" );
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document.write( "Check <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%28x-3%29%3E5x-14 ALIGN=MIDDLE  ALT=\"7%28x-3%29%3E5x-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where x = 3. This results in the assertion 0 > 1, which is false. So the value x = 3 does not work, as we expect.\r<BR>\n" );
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document.write( "Check <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%28x-3%29%3E5x-14 ALIGN=MIDDLE  ALT=\"7%28x-3%29%3E5x-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where x = 4. This results in the assertion 7 > 6, which is true, as we expected given we think the solution is x > 7/2.\r<BR>\n" );
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document.write( "Check <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%28x-3%29%3E5x-14 ALIGN=MIDDLE  ALT=\"7%28x-3%29%3E5x-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where x = 2. This results in the assertion -7 > -4, which is false. So the value x = 2 does not work, as we expect.\r<BR>\n" );
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document.write( "Check <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%28x-3%29%3E5x-14 ALIGN=MIDDLE  ALT=\"7%28x-3%29%3E5x-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where x = 5. This results in the assertion 14 > 9, which is true. So the value x = 5 works, as we expect.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28x%3E7%2F2%29 ALIGN=MIDDLE  ALT=\"graph%28x%3E7%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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