document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208941>Question 208941</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3t>6t+12\r<BR>\n" );
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document.write( "I'm trying to help my son with his algebra and it's been a long time since I've done this.  I'm pretty sure I have to get the t's on one side.  I tried dividing by 3, but that didn't seem to get me any closer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157971 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=157971\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3t > 6t+12 \r<BR>\n" );
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document.write( "Treat it like a regular equation.\r<BR>\n" );
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document.write( "Subtract 6t from both sides.\r<BR>\n" );
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document.write( "3t - 6t > 12\r<BR>\n" );
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document.write( "-3t > 12\r<BR>\n" );
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document.write( "Since we are dividing by a negative number, the inequality sign must be reversed.\r<BR>\n" );
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document.write( "t < 12/-3\r<BR>\n" );
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document.write( "t < -4....This is the answer.\r<BR>\n" );
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document.write( "Let's prove it.\r<BR>\n" );
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document.write( "Whatever the value of t is it must be less than -4 to make the original inequality given a true statement.\r<BR>\n" );
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document.write( "I will let t = -5 but you can use any number less than -4 for t.  I will now plug -5 for t into 3t > 6t + 12 and simplify.\r<BR>\n" );
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document.write( "3(-5) > 6(-5) + 12\r<BR>\n" );
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document.write( "-15 > -30 + 12\r<BR>\n" );
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document.write( "-15 > -18....This is a true statement because IT IS TRUE that -15 is BIGGER than - 18.  As the numbers on the real number line get closer to zero coming from the left side, they get BIGGER in value.\r<BR>\n" );
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document.write( "Final answer: t < -4\r<BR>\n" );
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document.write( " \r<BR>\n" );
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document.write( " </SPAN>\n" );
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