document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150374>Question 150374</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.	Marika is a salesperson who must decide between two monthly income options:<BR>\n" );
document.write( "	Option 1: 	Salary of $1412 per month, plus 10% of monthly sales<BR>\n" );
document.write( "or	Option 1: 	Salary of $2000 per month, plus 6% of monthly sales\r<BR>\n" );
document.write( "\n" );
document.write( "What must the monthly sales amount be so that Option 1 is a better choice for Marika than Option 2?<BR>\n" );
document.write( "Show a correct inequality and solve it.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2.	Solve (x + 5)(x – 4)(x – 7) <= 0 and write the solution set in interval notation. Show all work <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110337 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=110337\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Marika is a salesperson who must decide between two monthly income options:<BR>\n" );
document.write( "Option 1: Salary of $1412 per month, plus 10% of monthly sales<BR>\n" );
document.write( "s1(x) = 1412 + 0.10x<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Option 1: Salary of $2000 per month, plus 6% of monthly sales<BR>\n" );
document.write( "s2(x) = 2000 + 0.06x<BR>\n" );
document.write( "-------------------------- <BR>\n" );
document.write( "What must the monthly sales amount be so that Option 1 is a better choice for Marika than Option 2?<BR>\n" );
document.write( "INEQUALITY:<BR>\n" );
document.write( "s1 < s2<BR>\n" );
document.write( "1412 + 0.10x < 2000 + 0.06x<BR>\n" );
document.write( "0.04x = 588<BR>\n" );
document.write( "x = $14700<BR>\n" );
document.write( "Show a correct inequality and solve it.<BR>\n" );
document.write( "Done<BR>\n" );
document.write( "==========================\r<BR>\n" );
document.write( "\n" );
document.write( "2. Solve (x + 5)(x – 4)(x – 7) <= 0 and write the solution set in interval notation. Show all work<BR>\n" );
document.write( " <BR>\n" );
document.write( "1st Solve the Equality:<BR>\n" );
document.write( "x = -5 or 4 or 7<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "2nd: Draw a number line and mark those x-values on the line.<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "3rd: Solve the Inequality (x + 5)(x – 4)(x – 7) < 0<BR>\n" );
document.write( "try a test point in each interval to see where the solution set is:<BR>\n" );
document.write( "try x = -6; -1*-10*-13 <0; true so solutions in (-inf,-5)<BR>\n" );
document.write( "try x = 0 ; 5*-4*-7 < 0 ;  false so no solutions in (-5,4)<BR>\n" );
document.write( "try x = 5 ; 10*1*-2 < 0 ; true so solutions in (4,7)<BR>\n" );
document.write( "try x = 8 ; 13*4*1 < 0 ; false so no solutions in (7,+inf)<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Final Answer: (-inf,-5) U (4,7)<BR>\n" );
document.write( "==========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );