document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=165988>Question 165988</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having a hard time with this problem and hope you can help.\r<BR>\n" );
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document.write( "The Movies charges $10 per month for membership plus $2.50 per movie rental.  Movies to Go charges $4 per movie rental.  For what number of movie rentals per month is The Movies the less expensive option?\r<BR>\n" );
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document.write( "Would you set this problem up like 10 + 2.5 < 4x (10+2.5)?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122328 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=122328\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Movies charges $10 per month for membership plus $2.50 per movie rental. Movies to Go charges $4 per movie rental. For what number of movie rentals per month is The Movies the less expensive option? <BR>\n" );
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document.write( "Not quite, the equation you want:<BR>\n" );
document.write( "10 + 2.5x < 4x<BR>\n" );
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document.write( "2.5x - 4x < -10<BR>\n" );
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document.write( "-1.5x < -10<BR>\n" );
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document.write( "WE need equation to be positive, mult both sides by -1<BR>\n" );
document.write( "When we do that, we have to reverse the inequality sign<BR>\n" );
document.write( "1.5x > 10<BR>\n" );
document.write( "x > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F1.5 ALIGN=MIDDLE  ALT=\"10%2F1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x > 6.67<BR>\n" );
document.write( "We can't have a fraction of a movie, therefore<BR>\n" );
document.write( "x => 7 movies<BR>\n" );
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document.write( "Try this for both <BR>\n" );
document.write( "Movies:10 + 2.5(7) = $27.50<BR>\n" );
document.write( "Movies to go: 4*7 = $28.00 </SPAN>\n" );
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