document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=294664>Question 294664</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each inequality. 1/x is greater than or equal to 4x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #212446 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=212446\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve each inequality. <BR>\n" );
document.write( "1/x is greater than or equal to 4x<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "1/x >= 4x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "4x - (1/x) <= 0<BR>\n" );
document.write( "(4x^2-1)/x <= 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve the Equality:<BR>\n" );
document.write( "(4x^2-1)/x = 0<BR>\n" );
document.write( "Solve 4x^2-1 = 0<BR>\n" );
document.write( "4x^2 = 1<BR>\n" );
document.write( "x^2 = 1/4<BR>\n" );
document.write( "x = 1/2 or x = -1/2<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Solve the Inequality:<BR>\n" );
document.write( "Draw a number line and mark -1/2, 0,  and 1/2 on it.<BR>\n" );
document.write( "Test a value from each of the resulting intervals in the inequality:<BR>\n" );
document.write( "(4x^2-1)/x < 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Test x = -1 to get +/- < 0; true so solutions in (-inf,-1/2)<BR>\n" );
document.write( "Test x = -1/4 to get -/- >0, so no solutions in (-1/2,0)<BR>\n" );
document.write( "Test x = +1/4 to get -/+ < 0, so solutions in (0,1/2)<BR>\n" );
document.write( "Test x = 1 to get +/+ > 0, so no solutions in (1/2,+inf)<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Combining the solutions for the equality and the inequality you get:<BR>\n" );
document.write( "(-inf,-1/2]U(0,1/2]<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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