document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209340>Question 209340</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need assistance solving these inequalities. Thank you!<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2F5%29-6%3C=-%28x%2F2%29%2B6+ ALIGN=MIDDLE  ALT=\"+%28x%2F5%29-6%3C=-%28x%2F2%29%2B6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2-x-6%3C0+ ALIGN=MIDDLE  ALT=\"+x%5E2-x-6%3C0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%5E2%2Bx%3E=15+ ALIGN=MIDDLE  ALT=\"+2x%5E2%2Bx%3E=15+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thank you in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158272 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=158272\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need assistance solving these inequalities. Thank you!<BR>\n" );
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document.write( " (x/5)-6<=-(x/2)+6 <BR>\n" );
document.write( "Multiply both sides by 10 to get:<BR>\n" );
document.write( "2x - 60 <= -5x + 60<BR>\n" );
document.write( "7x <= 120<BR>\n" );
document.write( "x <= 120/7<BR>\n" );
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document.write( "x^2-x-6 < 0 <BR>\n" );
document.write( "(x-3)(x+2) < 0<BR>\n" );
document.write( "Draw a number line and mark x=-2 and x = 3 on it.<BR>\n" );
document.write( "Check for answers to the inequality in the resulting three intervals.<BR>\n" );
document.write( "Test x = -5 in the inequality: (-)(-) < 0 ; false<BR>\n" );
document.write( "Test x = 0 in the inequality: (-)(+) < 0 ; true so solutions in (-2,3)<BR>\n" );
document.write( "Test x = 10 in the inequality: (+)(+) < 0 ; false<BR>\n" );
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document.write( "Solution: (-2,3) or -2 < x < 3<BR>\n" );
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document.write( "2x^2+x >= 15 <BR>\n" );
document.write( "2x^2 + x - 15 > = 0<BR>\n" );
document.write( "(x+3)(2x-5) > 0<BR>\n" );
document.write( "Draw a number line and mark x = -3 and x = 5/2<BR>\n" );
document.write( "Test x = -10 in the inequality: (-)(-) >=0 true so solutions in (-inf,-3]<BR>\n" );
document.write( "Test x = 0 in the inequality: (+)(-) >= 0 false<BR>\n" );
document.write( "Test x = 10 in the inequality:(+)(+)>= 0 true so solutions in [5/2,+inf)<BR>\n" );
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document.write( "Solution: (-inf,-3)U(5/2,+inf)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "Reply to stanbon@comcast.net<BR>\n" );
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