document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1081810>Question 1081810</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Does 3 >= -6 equal o >= -9 ... if so why????   Would you divide both sides by 3....and if so...WHY????..... it has no variable left at this point.  Please explain if there is a rule....do you look for factors???<BR>\n" );
document.write( " How far do you break down an inequality???? These inequalities have different all real number sets. I have been given different answers on this.\r<BR>\n" );
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document.write( "Original problem....     3(1-x) >= -3(x+2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #695856 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=695856\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3-3x >= -3x-6<BR>\n" );
document.write( "-3x-3 >=-3x-6<BR>\n" );
document.write( "-3 is greater than equal to -6<BR>\n" );
document.write( "infinite solutions.<BR>\n" );
document.write( "had it not been the case, no solutions.<BR>\n" );
document.write( "check<BR>\n" );
document.write( "x=0; 3>=-6<BR>\n" );
document.write( "x=1; 0>=-9<BR>\n" );
document.write( "x=-1; 6>=-3<BR>\n" );
document.write( "x=-10; 33>=24.<BR>\n" );
document.write( "When the variables disappear, look at what is left.  If it is something like 3=3, infinite solutions, like this one.<BR>\n" );
document.write( "If it is something like 2=4, then no solutions. IT IS NOT NECESSARY TO CONVERT IT TO 0>=-9.  ONE COMPARES THE TWO SIDES IN INSTANCES WHEN THE VARIABLES ARE REMOVED FROM BOTH SIDES.  THAT IS BOTH NECESSARY AND SUFFICIENT TO DRAW THE CONCLUSION THAT THERE ARE INFINITE OR NO SOLUTIONS.  <BR>\n" );
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