document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1046987>Question 1046987</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the inequality.  Write the solution set using interval notation and graph the solution set on a number line:  1/3 (2x-5)+5&#8804;2/5 (x-2)  .  \r<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 #662458 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=662458\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/3 (2x-5)+5&#8804;2/5 (x-2) <BR>\n" );
document.write( "Multiply everything by 15 to clear fractions<BR>\n" );
document.write( "5(2x-5)+75<= 6(x-2)<BR>\n" );
document.write( "10x-25+75<=6x-12, after distributing.<BR>\n" );
document.write( "4x<=-62, after collecting terms and moving them.<BR>\n" );
document.write( "x<=-15.5, dividing by 4.  <BR>\n" );
document.write( "Check by using a number in and out of the range.<BR>\n" );
document.write( "0 should not work, and (-5/3)+5 is not less than -4/5<BR>\n" );
document.write( "-12 should not work, and (1/3)(-29)+5 is -4 2/3 and that is not less than (2/5)(-14) or -28/5 or -5 3/5<BR>\n" );
document.write( "-16 should work, and (1/3)(-37)+5 is -7 1/3 and that is less than (2/5)(-18) which is -36/5 or -7 1/5<BR>\n" );
document.write( "x<= -15.5, and it is the point and everything to the left of it on the number line.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=number_line%28+600%2C-20%2C20%2C-15.5%29 ALIGN=MIDDLE  ALT=\"number_line%28+600%2C-20%2C20%2C-15.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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