document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199962>Question 1199962</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a poll percent in within 3% of the true percent p, and the poll percent is 31%, describe the possible values of p: <BR>\n" );
document.write( "a. using a double inequality;<BR>\n" );
document.write( "b. using absolute value.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #834412 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=834412\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the poll percent is 31%.<BR>\n" );
document.write( "the true percent is p.\r<BR>\n" );
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document.write( "a. using a double inequality.\r<BR>\n" );
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document.write( "p = 31% plus or minus 3%.<BR>\n" );
document.write( "this tells you that p will be between 28% and 34%.\r<BR>\n" );
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document.write( "b. using absolute value.\r<BR>\n" );
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document.write( "absolute value of (31% - p) = 3%<BR>\n" );
document.write( "if (31% - p) is positive, you get (31% - p) = 3%.<BR>\n" );
document.write( "solve for p to get p = 31% - 3% = 28%<BR>\n" );
document.write( "if (31% - p) is negative, you get -(31% - p) = 3% which becomes -31% + p = 3%.<BR>\n" );
document.write( "solve for p to get p = 3% + 31% = 34%<BR>\n" );
document.write( "this tells you that p will be between 28% and 34%.\r<BR>\n" );
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document.write( "the reason for this is because the absolute value of the expression has to be positive.<BR>\n" );
document.write( "if it is positive, then the absolute value of it is already positive.<BR>\n" );
document.write( "if it is negative, then the absolute value of it is multiplied by -1 to make it positive.<BR>\n" );
document.write( "example:<BR>\n" );
document.write( "the absolute value of 5 is equal to 5.<BR>\n" );
document.write( "the absolute value of -5 is equal to -(-5) which is equal to 5.\r<BR>\n" );
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