document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117580>Question 117580</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given the following inequality: -4(x-3)+5< or equal to 3x-7<BR>\n" );
document.write( "a. find solution set for x<BR>\n" );
document.write( "b.   verify answer by checking one value inside the solutions set,and one       value outside the solution set.<BR>\n" );
document.write( "c.  How does the answer change in the above equation if we change the < or equal to a =\r<BR>\n" );
document.write( "\n" );
document.write( "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 #85566 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=85566\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%28x-3%29+%2B+5+%3C=+3x+-+7 ALIGN=MIDDLE  ALT=\"-4%28x-3%29+%2B+5+%3C=+3x+-+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x+%2B12+%2B+5+%3C=+3x+-+7 ALIGN=MIDDLE  ALT=\"-4x+%2B12+%2B+5+%3C=+3x+-+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x+%2B+17+%3C=+3x+-+7 ALIGN=MIDDLE  ALT=\"-4x+%2B+17+%3C=+3x+-+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-17 ALIGN=MIDDLE  ALT=\"-17\"   DISABLED_style= \"max-width:90%; height:auto;\" > both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x+%3C=+3x+-+24 ALIGN=MIDDLE  ALT=\"-4x+%3C=+3x+-+24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x ALIGN=MIDDLE  ALT=\"-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7x+%3C=+-24 ALIGN=MIDDLE  ALT=\"-7x+%3C=+-24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and reverse <<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x+%3E=+24 ALIGN=MIDDLE  ALT=\"7x+%3E=+24\"   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=+24%2F7 ALIGN=MIDDLE  ALT=\"x+%3E=+24%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer<BR>\n" );
document.write( "check answer<BR>\n" );
document.write( "Does <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+24%2F7 ALIGN=MIDDLE  ALT=\"x+=+24%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > solve original problem?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%28x-3%29+%2B+5+%3C=+3x+-+7 ALIGN=MIDDLE  ALT=\"-4%28x-3%29+%2B+5+%3C=+3x+-+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%28%2824%2F7%29-3%29+%2B+5+%3C=+3%2824%2F7%29+-+7 ALIGN=MIDDLE  ALT=\"-4%28%2824%2F7%29-3%29+%2B+5+%3C=+3%2824%2F7%29+-+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%2896%2F7%29+%2B+17+%3C=+%2872%2F7%29+-+7 ALIGN=MIDDLE  ALT=\"-%2896%2F7%29+%2B+17+%3C=+%2872%2F7%29+-+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%2872%2F7%29 ALIGN=MIDDLE  ALT=\"-%2872%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28168%2F7%29+%2B+17+%3C=+-7 ALIGN=MIDDLE  ALT=\"-%28168%2F7%29+%2B+17+%3C=+-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28168%2F7%29+%3C=+-24 ALIGN=MIDDLE  ALT=\"-%28168%2F7%29+%3C=+-24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-24+%3C=+-24 ALIGN=MIDDLE  ALT=\"-24+%3C=+-24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "What if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E+24%2F7 ALIGN=MIDDLE  ALT=\"x+%3E+24%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >?<BR>\n" );
document.write( "Make <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+25%2F7 ALIGN=MIDDLE  ALT=\"x+=+25%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%28x-3%29+%2B+5+%3C=+3x+-+7 ALIGN=MIDDLE  ALT=\"-4%28x-3%29+%2B+5+%3C=+3x+-+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%28%2825%2F7%29-3%29+%2B+5+%3C=+3%2825%2F7%29+-+7 ALIGN=MIDDLE  ALT=\"-4%28%2825%2F7%29-3%29+%2B+5+%3C=+3%2825%2F7%29+-+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28100%2F7%29+%2B+17+%3C=+%2875%2F7%29+-+7 ALIGN=MIDDLE  ALT=\"-%28100%2F7%29+%2B+17+%3C=+%2875%2F7%29+-+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28175%2F7%29+%3C=+-24 ALIGN=MIDDLE  ALT=\"-%28175%2F7%29+%3C=+-24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7 ALIGN=MIDDLE  ALT=\"-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > and change < to > both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=175+%3E=+168 ALIGN=MIDDLE  ALT=\"175+%3E=+168\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Now try a value outside solution set<BR>\n" );
document.write( "Make <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+23%2F7 ALIGN=MIDDLE  ALT=\"x+=+23%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%28x-3%29+%2B+5+%3C=+3x+-+7 ALIGN=MIDDLE  ALT=\"-4%28x-3%29+%2B+5+%3C=+3x+-+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%28%2823%2F7%29-3%29+%2B+5+%3C=+3%2823%2F7%29+-+7 ALIGN=MIDDLE  ALT=\"-4%28%2823%2F7%29-3%29+%2B+5+%3C=+3%2823%2F7%29+-+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%2892%2F7%29+%2B+17+%3C=+%2869%2F7%29+-+7 ALIGN=MIDDLE  ALT=\"-%2892%2F7%29+%2B+17+%3C=+%2869%2F7%29+-+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28161%2F7%29+%2B+17+%3C=+-7 ALIGN=MIDDLE  ALT=\"-%28161%2F7%29+%2B+17+%3C=+-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28161%2F7%29+%3C=+-24 ALIGN=MIDDLE  ALT=\"-%28161%2F7%29+%3C=+-24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=161%2F7+%3E=+24 ALIGN=MIDDLE  ALT=\"161%2F7+%3E=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=161+%3E=+168 ALIGN=MIDDLE  ALT=\"161+%3E=+168\"   DISABLED_style= \"max-width:90%; height:auto;\" > Not true, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+23%2F7 ALIGN=MIDDLE  ALT=\"x+=+23%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > does not solve<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "What if we change < to >?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%28x-3%29+%2B+5+%3E=+3x+-+7 ALIGN=MIDDLE  ALT=\"-4%28x-3%29+%2B+5+%3E=+3x+-+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x+%2B+12+%2B+5+%3E=+3x+-+7 ALIGN=MIDDLE  ALT=\"-4x+%2B+12+%2B+5+%3E=+3x+-+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7x+%2B+17+%3E=+-7 ALIGN=MIDDLE  ALT=\"-7x+%2B+17+%3E=+-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7x+%3E=+-24 ALIGN=MIDDLE  ALT=\"-7x+%3E=+-24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x+%3C=+24 ALIGN=MIDDLE  ALT=\"7x+%3C=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C=+24%2F7 ALIGN=MIDDLE  ALT=\"x+%3C=+24%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > The > in answer becomes <<BR>\n" );
document.write( "     </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );