document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119350>Question 119350</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh>Algebra and Trigonmertry structure and method  </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> graph the set of solution of each open sentence\r<BR>\n" );
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document.write( "1.)|2t+5|<7\r<BR>\n" );
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document.write( "2.)|w-5|>3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87463 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=87463\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> #1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%282t%2B5%29%3C7 ALIGN=MIDDLE  ALT=\"abs%282t%2B5%29%3C7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given inequality\r<BR>\n" );
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document.write( "Break up the absolute value (remember, if you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%29%3C+a ALIGN=MIDDLE  ALT=\"abs%28x%29%3C+a\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E+-a ALIGN=MIDDLE  ALT=\"x+%3E+-a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+a ALIGN=MIDDLE  ALT=\"x+%3C+a\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2t%2B5+%3E+-7 ALIGN=MIDDLE  ALT=\"2t%2B5+%3E+-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2t%2B5+%3C+7 ALIGN=MIDDLE  ALT=\"2t%2B5+%3C+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the absolute value inequality using the given rule\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7+%3C+2t%2B5+%3C+7 ALIGN=MIDDLE  ALT=\"-7+%3C+2t%2B5+%3C+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the two inequalities to get a compound inequality\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12+%3C+2t+%3C+2 ALIGN=MIDDLE  ALT=\"-12+%3C+2t+%3C+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 5 from  all sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6+%3C+t+%3C+1 ALIGN=MIDDLE  ALT=\"-6+%3C+t+%3C+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Divide all sides by 2 to isolate t\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So our answer is\r<BR>\n" );
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document.write( "which looks like this in interval notation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(-6,1\right)\">\r<BR>\n" );
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document.write( "if you wanted to graph the solution set, you would get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C50%2C-10%2C10%2C-10%2C10%2C%0D%0Anumber_line%28+500%2C+-12.5%2C+7.5%29%2C%0D%0A%0D%0Ablue%28line%28-3%2C-7%2C3.15%2C-7%29%29%2C%0D%0Ablue%28line%28-3%2C-6%2C3.15%2C-6%29%29%2C%0D%0Ablue%28line%28-3%2C-5%2C3.15%2C-5%29%29%2C%0D%0A%0D%0Acircle%28-3.5%2C-5.8%2C0.35%29%2C%0D%0Acircle%28-3.5%2C-5.8%2C0.4%29%2C%0D%0Acircle%28-3.5%2C-5.8%2C0.45%29%2C%0D%0A%0D%0A%0D%0Acircle%283.5%2C-5.8%2C0.35%29%2C%0D%0Acircle%283.5%2C-5.8%2C0.4%29%2C%0D%0Acircle%283.5%2C-5.8%2C0.45%29%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of the solution set in blue and the excluded values represented by open circles\r<BR>\n" );
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document.write( "#2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28w-5%29%3E3 ALIGN=MIDDLE  ALT=\"abs%28w-5%29%3E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given inequality\r<BR>\n" );
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document.write( "Break up the absolute value (remember, if you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%29%3E+a ALIGN=MIDDLE  ALT=\"abs%28x%29%3E+a\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+-a ALIGN=MIDDLE  ALT=\"x+%3C+-a\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E+a ALIGN=MIDDLE  ALT=\"x+%3E+a\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w-5+%3C+-3 ALIGN=MIDDLE  ALT=\"w-5+%3C+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w-5+%3E+3 ALIGN=MIDDLE  ALT=\"w-5+%3E+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the absolute value inequality using the given rule\r<BR>\n" );
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document.write( "Now lets focus on the first inequality  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w-5+%3C+-3 ALIGN=MIDDLE  ALT=\"w-5+%3C+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w-5%3C-3 ALIGN=MIDDLE  ALT=\"w-5%3C-3\"   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=w%3C-3%2B5 ALIGN=MIDDLE  ALT=\"w%3C-3%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >Add 5 to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%3C2 ALIGN=MIDDLE  ALT=\"w%3C2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side\r<BR>\n" );
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document.write( "Now lets focus on the second inequality  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w-5+%3E+3 ALIGN=MIDDLE  ALT=\"w-5+%3E+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w-5%3E3 ALIGN=MIDDLE  ALT=\"w-5%3E3\"   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=w%3E3%2B5 ALIGN=MIDDLE  ALT=\"w%3E3%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >Add 5 to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%3E8 ALIGN=MIDDLE  ALT=\"w%3E8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So our answer is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+%3C+2 ALIGN=MIDDLE  ALT=\"w+%3C+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+%3E+8 ALIGN=MIDDLE  ALT=\"w+%3E+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which looks like this in interval notation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(-\infty,2\right)\cup\left(8,\infty\right)\">\r<BR>\n" );
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document.write( "if you wanted to graph the solution set, you would get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C50%2C-10%2C10%2C-10%2C10%2C%0D%0Anumber_line%28+500%2C+-5%2C+15%29%2C%0D%0A%0D%0Ablue%28arrow%28-3.5%2C-7%2C-10%2C-7%29%29%2C%0D%0Ablue%28arrow%28-3.5%2C-6.5%2C-10%2C-6.5%29%29%2C%0D%0Ablue%28arrow%28-3.5%2C-6%2C-10%2C-6%29%29%2C%0D%0Ablue%28arrow%28-3.5%2C-5.5%2C-10%2C-5.5%29%29%2C%0D%0Ablue%28arrow%28-3.5%2C-5%2C-10%2C-5%29%29%2C%0D%0Ablue%28arrow%283.5%2C-7%2C10%2C-7%29%29%2C%0D%0Ablue%28arrow%283.5%2C-6.5%2C10%2C-6.5%29%29%2C%0D%0Ablue%28arrow%283.5%2C-6%2C10%2C-6%29%29%2C%0D%0Ablue%28arrow%283.5%2C-5.5%2C10%2C-5.5%29%29%2C%0D%0Ablue%28arrow%283.5%2C-5%2C10%2C-5%29%29%2C%0D%0A%0D%0Acircle%28-3%2C-5.8%2C0.35%29%2C%0D%0Acircle%28-3%2C-5.8%2C0.4%29%2C%0D%0Acircle%28-3%2C-5.8%2C0.45%29%2C%0D%0A%0D%0A%0D%0Acircle%283%2C-5.8%2C0.35%29%2C%0D%0Acircle%283%2C-5.8%2C0.4%29%2C%0D%0Acircle%283%2C-5.8%2C0.45%29%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of the solution set in blue and the excluded values represented by open circles </SPAN>\n" );
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