document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=215261>Question 215261</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780321416162/algebrahomeworkh>Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 2.	Let f(x) = | 7 – 3x |.  Find all x for which f(x) > or = 10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162640 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=162640\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> [7-3x]>=10,,,,,,lets  solve  with  = only,,,first<BR>\n" );
document.write( ".<BR>\n" );
document.write( "(7-3x) = 10,,,,,,,,,(7-3x) = -10<BR>\n" );
document.write( ".<BR>\n" );
document.write( "-3x = 3,,,,,,,,,,,,,,-3x = -17<BR>\n" );
document.write( ".<BR>\n" );
document.write( "x=-1,,,,,,,,,,,,,,,,,,x=17/3 = 5.67<BR>\n" );
document.write( ".<BR>\n" );
document.write( "now,  plot  on  number  line<BR>\n" );
document.write( ".<BR>\n" );
document.write( ",,,,,,,A,,,,,,,,,-1,,,,,,,B,,,,,,,,5.67,,,,,,C,,,,,<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Lets  check  original  inequality  in  each  region<BR>\n" );
document.write( ".<BR>\n" );
document.write( "A,,,let x= -2,,,,13>=10,,,,,  true<BR>\n" );
document.write( ".<BR>\n" );
document.write( "B,,,,let  x=0,,,,,7>=10,,,,,not  true<BR>\n" );
document.write( ".<BR>\n" );
document.write( "C,,,,,let x= 7,,,,,14>=10,,,,true<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Therefore  x<-1,,,,and x>=5.67,,,,,,-1>x>5.67,,,,   answer<BR>\n" );
document.write( ".<BR>\n" );
document.write( "This  can  be  done  by  maintaining  the  inequality,  setting the  positive  absolute  value  as >=,,and  negative  as <=,,and  solving,  but  watching  the  flip  of  inequalities  as  we  multiply  or  divide  by  negative  number, but  it  gets  confusing,  especially  for  this  problem.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );