document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=23538>Question 23538</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have two problems that I just can't seem to get worked out.  I submitted one before but the wrong numbers were used in the equation by the solver.  These problems are due tonight by midnight.  Any help give will be gravely appreciated.\r<BR>\n" );
document.write( "\n" );
document.write( "Question 1\r<BR>\n" );
document.write( "\n" );
document.write( "5x - 10x^2 < 0  \r<BR>\n" );
document.write( "\n" );
document.write( "Question 2\r<BR>\n" );
document.write( "\n" );
document.write( "x^2 - x > 0\r<BR>\n" );
document.write( "\n" );
document.write( "Solve the inequality, state the solution set in inteval notation and graph it.<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 #12388 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=12388\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5x-10X^2<0<BR>\n" );
document.write( "1st solve the equality 5x-10x^2=0<BR>\n" );
document.write( "5x(1-2x=0<BR>\n" );
document.write( "x=0 or x=1/2<BR>\n" );
document.write( "Draw a number line and plot x=0 and x=1/2 on it<BR>\n" );
document.write( "You now have three sections on the line; they<BR>\n" );
document.write( "are x<0;  0<x<1/2;  x>1/2<BR>\n" );
document.write( "Check a value in each section in the original <BR>\n" );
document.write( "inequality to see if that value makes the equality<BR>\n" );
document.write( "true or false.<BR>\n" );
document.write( "For example try x=-10 to check the section x<0<BR>\n" );
document.write( "Substituting you get:<BR>\n" );
document.write( " 5(-10)-10(-10)^2<0<BR>\n" );
document.write( " -50-1000<0<BR>\n" );
document.write( "That's true so all x<0 are part of the solution.<BR>\n" );
document.write( "Check also x=1/4, and x=10 to see if either of<BR>\n" );
document.write( "the other two sections contain solutions.\r<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );