document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168182>Question 168182</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.  y-10>2y-3 are 7,-18,-11,or -3 a solution to the inequality?\r<BR>\n" );
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document.write( "2. (x|x is greater than or equal to -5) how do i write in interval notation?\r<BR>\n" );
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document.write( "3. what is interval notation for the set (x|-5>x>-7)\r<BR>\n" );
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document.write( "4. solve -7/2x>-5/4 ...what is solution x|x??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123947 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=123947\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # 1\r<BR>\n" );
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document.write( "To see if any values are solutions, we need to test them all\r<BR>\n" );
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document.write( "Let's see if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7 ALIGN=MIDDLE  ALT=\"y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-10%3E2y-3 ALIGN=MIDDLE  ALT=\"y-10%3E2y-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=7-10%3E2%2A%287%29-3 ALIGN=MIDDLE  ALT=\"7-10%3E2%2A%287%29-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7 ALIGN=MIDDLE  ALT=\"y=7\"   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=7-10%3E14-3 ALIGN=MIDDLE  ALT=\"7-10%3E14-3\"   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=-3%3E11 ALIGN=MIDDLE  ALT=\"-3%3E11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "Since the inequality <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%3E11 ALIGN=MIDDLE  ALT=\"-3%3E11\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <font size=\"4\"><b>FALSE</b></font>,this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7 ALIGN=MIDDLE  ALT=\"y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <font size=\"4\"><b>NOT</b></font> a solution.\r<BR>\n" );
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document.write( "------------------------------------------------------------------------\r<BR>\n" );
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document.write( "Let's see if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-18 ALIGN=MIDDLE  ALT=\"y=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-10%3E2y-3 ALIGN=MIDDLE  ALT=\"y-10%3E2y-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=-18-10%3E2%2A%28-18%29-3 ALIGN=MIDDLE  ALT=\"-18-10%3E2%2A%28-18%29-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-18 ALIGN=MIDDLE  ALT=\"y=-18\"   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=-18-10%3E-36-3 ALIGN=MIDDLE  ALT=\"-18-10%3E-36-3\"   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=-28%3E-39 ALIGN=MIDDLE  ALT=\"-28%3E-39\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "Since the inequality <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%3E11 ALIGN=MIDDLE  ALT=\"-3%3E11\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <font size=\"4\"><b>TRUE</b></font>,this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-18 ALIGN=MIDDLE  ALT=\"y=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution to the inequality.\r<BR>\n" );
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document.write( "Let's see if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-11 ALIGN=MIDDLE  ALT=\"y=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-10%3E2y-3 ALIGN=MIDDLE  ALT=\"y-10%3E2y-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=-11-10%3E2%2A%28-11%29-3 ALIGN=MIDDLE  ALT=\"-11-10%3E2%2A%28-11%29-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-11 ALIGN=MIDDLE  ALT=\"y=-11\"   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=-11-10%3E-22-3 ALIGN=MIDDLE  ALT=\"-11-10%3E-22-3\"   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=-21%3E-25 ALIGN=MIDDLE  ALT=\"-21%3E-25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "Since the inequality <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-21%3E-25 ALIGN=MIDDLE  ALT=\"-21%3E-25\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <font size=\"4\"><b>TRUE</b></font>,this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-11 ALIGN=MIDDLE  ALT=\"y=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution to the inequality.\r<BR>\n" );
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document.write( "Finally, let's see if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-3 ALIGN=MIDDLE  ALT=\"y=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-10%3E2y-3 ALIGN=MIDDLE  ALT=\"y-10%3E2y-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=-3-10%3E2%2A%28-3%29-3 ALIGN=MIDDLE  ALT=\"-3-10%3E2%2A%28-3%29-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-11 ALIGN=MIDDLE  ALT=\"y=-11\"   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=-3-10%3E-6-3 ALIGN=MIDDLE  ALT=\"-3-10%3E-6-3\"   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=-13%3E-9 ALIGN=MIDDLE  ALT=\"-13%3E-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "Since the inequality <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-21%3E-25 ALIGN=MIDDLE  ALT=\"-21%3E-25\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <font size=\"4\"><b>FALSE</b></font>,this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-11 ALIGN=MIDDLE  ALT=\"y=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <font size=\"4\"><b>NOT</b></font> a solution to the inequality.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the solutions of the inequality are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-18 ALIGN=MIDDLE  ALT=\"y=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-11 ALIGN=MIDDLE  ALT=\"y=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\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/rendertex.cgi?\LARGE \left\{x\|x \ge -5\right\}\"> written in interval notation is <font size=\"8\">[</font><IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -5,\infty\"><font size=\"8\">)</font>\r<BR>\n" );
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document.write( "# 3\r<BR>\n" );
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document.write( "First rewrite -5 > x > -7 into -7 < x < -5\r<BR>\n" );
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document.write( "So the answer in interval notation is \r<BR>\n" );
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document.write( "<font size=\"8\">(</font><IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \bf{-7,-5}\"><font size=\"8\">)</font>\r<BR>\n" );
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document.write( "# 4  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%287%2F2%29x%3E-5%2F4 ALIGN=MIDDLE  ALT=\"-%287%2F2%29x%3E-5%2F4\"   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=4%28-%287%2Fcross%282%29%29x%29%3Ecross%284%29%28-5%2Fcross%284%29%29 ALIGN=MIDDLE  ALT=\"4%28-%287%2Fcross%282%29%29x%29%3Ecross%284%29%28-5%2Fcross%284%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by the LCD <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to clear the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-14x%3E-5 ALIGN=MIDDLE  ALT=\"-14x%3E-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute and multiply.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%28-5%29%2F%28-14%29 ALIGN=MIDDLE  ALT=\"x%3C%28-5%29%2F%28-14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-14 ALIGN=MIDDLE  ALT=\"-14\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. note: Remember, the inequality sign flips when we divide both sides by a negative number. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C5%2F14 ALIGN=MIDDLE  ALT=\"x%3C5%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C5%2F14 ALIGN=MIDDLE  ALT=\"x%3C5%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Which approximates to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C0.357 ALIGN=MIDDLE  ALT=\"x%3C0.357\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "So the solution set is  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left\{x\|x<\frac{5}{14}\right\}\"><BR>\n" );
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