document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=481606>Question 481606</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the absolute value of 1-x/3 greater than or equal to 2/3. I nee help because my teacher didn't explain to us how we solve absolute values with fractions in them. Thank You! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #329804 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=329804\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the absolute value of 1-x/3 greater than or equal to 2/3.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "|1-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3 ALIGN=MIDDLE  ALT=\"x%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >| => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Remove the abs and solve for x<BR>\n" );
document.write( "1-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3 ALIGN=MIDDLE  ALT=\"x%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Get rid of those denominators, multiply both sides by 3<BR>\n" );
document.write( "3(1-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3 ALIGN=MIDDLE  ALT=\"x%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) => 2<BR>\n" );
document.write( "first solution<BR>\n" );
document.write( "3 - x => 2<BR>\n" );
document.write( "-x => 2 - 3<BR>\n" );
document.write( "-x => -1<BR>\n" );
document.write( "multiply both sides by -1, this reverses the inequality sign<BR>\n" );
document.write( "x =< 1 is the first solution<BR>\n" );
document.write( "and<BR>\n" );
document.write( "2nd solution<BR>\n" );
document.write( "3 - x =< -2, note the inequality sign is reversed<BR>\n" );
document.write( "-x =< -2 - 3<BR>\n" );
document.write( "-x =< -5<BR>\n" );
document.write( "multiply both sides by -1, this reverses the inequality sign<BR>\n" );
document.write( "x => 5 is the 2nd solution<BR>\n" );
document.write( ":<BR>\n" );
document.write( "summary: x =< 1 and x => 5<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );