document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=622995>Question 622995</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help with graph and interval notation?...I am truly stuck! 3(x-3)> -8  the greater than symbol has a line underneath  also,  -2<3x-5<.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #391874 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=391874\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, there--\r<BR>\n" );
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document.write( "PROBLEM 1.<BR>\n" );
document.write( "Solving inequalities is a lot like solving equations. We'll go through this step by step.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x-3%29%3E=-8 ALIGN=MIDDLE  ALT=\"3%28x-3%29%3E=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "First, distribute the 3 across the parentheses. 3(x-3) is 3x-9.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-9%3E=-8 ALIGN=MIDDLE  ALT=\"3x-9%3E=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Add 9 to both sides of the inequality to get 3x by itself on the left hand side. Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%3E=-8%2B9 ALIGN=MIDDLE  ALT=\"3x%3E=-8%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%3E=1 ALIGN=MIDDLE  ALT=\"3x%3E=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Divide both sides of the inequality by 3 to isolate the variable x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=1%2F3 ALIGN=MIDDLE  ALT=\"x%3E=1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "Now we know that x can be any number that is greater than or equal to 1/3. This website doesn't have a way that I've found to graph a number line with a solution, so I'll explain what it looks like.<BR>\n" );
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document.write( "Draw a number line like this one. The filled in circle at 1/3 means that 1/3 is part of the solution.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+number_line%28+300%2C+-10%2C+10%2C+1%2F3%29+ ALIGN=MIDDLE  ALT=\"+number_line%28+300%2C+-10%2C+10%2C+1%2F3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now draw a thick arrow on the number line from the filled in circle and to the right. This means that all numbers greater than 1/3 are also part of the solution.<BR>\n" );
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document.write( "The solution in interval notation is this: [1/3, &#8734;). The square bracket on the left means that 1/3 is included. The curved parenthesis mark on the right always goes after infinity. It means that there is no end to the numbers in the solution.<BR>\n" );
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document.write( "Here is a nice link about number lines and interval notation:<BR>\n" );
document.write( "http://www.mathsisfun.com/sets/intervals.html<BR>\n" );
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document.write( "I'm looking at your second problem. I'm not sure what you mean by the second < sign. Check the problem carefully. It seems like a typo. You may be able to work it on you own by following the steps above. Email me with any questions or if you get stuck. I'll help you out.<BR>\n" );
document.write( "Hope this helps!<BR>\n" );
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document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com </SPAN>\n" );
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