document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163613>Question 1163613</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Represent the following inequality on a number line<BR>\n" );
document.write( "1 3/4x-1<_ 3x-2<_6(2/3x+2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #787870 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=787870\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "I have to assume that in the expression \"1 3/4x\", the \"1 3/4\" is the coefficient of the x term; otherwise the inequality makes no sense.<br><BR>\n" );
document.write( "NEVER use a mixed number as a coefficient in an equation.  Convert it to an improper fraction.  1 3/4 = 7/4.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2F4%29x-1+%3C=+3x-2+%3C=+6%28%282%2F3%29x%2B2%29 ALIGN=MIDDLE  ALT=\"%287%2F4%29x-1+%3C=+3x-2+%3C=+6%28%282%2F3%29x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Use distribution on the last expression.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2F4%29x-1+%3C=+3x-2+%3C=+4x%2B12 ALIGN=MIDDLE  ALT=\"%287%2F4%29x-1+%3C=+3x-2+%3C=+4x%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Separate the compound inequality into two parts and solve each.<br><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2F4%29x-1+%3C=+3x-2 ALIGN=MIDDLE  ALT=\"%287%2F4%29x-1+%3C=+3x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%3C=+%285%2F4%29x ALIGN=MIDDLE  ALT=\"1+%3C=+%285%2F4%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5+%3C=+x ALIGN=MIDDLE  ALT=\"4%2F5+%3C=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E=+4%2F5 ALIGN=MIDDLE  ALT=\"x+%3E=+4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-2+%3C=+4x%2B12 ALIGN=MIDDLE  ALT=\"3x-2+%3C=+4x%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E=+-14 ALIGN=MIDDLE  ALT=\"x+%3E=+-14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The solution set is x greater than or equal to -14 AND x greater than or equal to 4/5; that is equivalent to just x greater than or equal to 4/5.<br><BR>\n" );
document.write( "You can draw the solution on a number line.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );