document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1131538>Question 1131538</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the properties of inequalities to solve the inequality. Write the solution set using set-builder notation.<BR>\n" );
document.write( "&#8722;3(x + 2) &#8804; 5x + 7<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #748217 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=748217\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%28x%2B2%29+%3C=+5x%2B7 ALIGN=MIDDLE  ALT=\"-3%28x%2B2%29+%3C=+5x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Given inequality\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%28x%29-3%282%29+%3C=+5x%2B7 ALIGN=MIDDLE  ALT=\"-3%28x%29-3%282%29+%3C=+5x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x-6+%3C=+5x%2B7 ALIGN=MIDDLE  ALT=\"-3x-6+%3C=+5x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x-6%2B3x+%3C=+5x%2B7%2B3x ALIGN=MIDDLE  ALT=\"-3x-6%2B3x+%3C=+5x%2B7%2B3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 3x to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6+%3C=+8x%2B7 ALIGN=MIDDLE  ALT=\"-6+%3C=+8x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6-7+%3C=+8x%2B7-7 ALIGN=MIDDLE  ALT=\"-6-7+%3C=+8x%2B7-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 7 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-13+%3C=+8x ALIGN=MIDDLE  ALT=\"-13+%3C=+8x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x+%3E=+-13 ALIGN=MIDDLE  ALT=\"8x+%3E=+-13\"   DISABLED_style= \"max-width:90%; height:auto;\" > Flip the sides of the inequality\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%2F8+%3E=+-13%2F8 ALIGN=MIDDLE  ALT=\"8x%2F8+%3E=+-13%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 8 to isolate x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E=+-13%2F8 ALIGN=MIDDLE  ALT=\"x+%3E=+-13%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "The answer is the set of all x values such that x is equal to -13/8 or it is larger than this value\r<BR>\n" );
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document.write( "We write that answer in set-builder notation like so\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left\{x|x\in\mathbb{R}, \ x \ge -\frac{13}{8}\right\}\">\r<BR>\n" );
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document.write( "note: The fancy R means \"the set of real numbers\". So saying <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\in\mathbb{R}\"> means x is in the set of real numbers<BR>\n" );
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