document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=262687>Question 262687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the value of x lies between 0 & 1 which of the following is the largest? \r<BR>\n" );
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document.write( "(a) x      b) x2    (c) -x   (d) 1/x   <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 #803516 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=803516\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Another response from tutor @CubeyThePenguin written hastily and carelessly, and showing bad mathematics.<br><BR>\n" );
document.write( "You can't answer the question by choosing one number between 0 and 1 and evaluating the four expressions for that one number.<br><BR>\n" );
document.write( "To find the answer using correct mathematical procedures, you need to analyze each of the given expressions.  Specifically, you need to compare answer choices b, c, and d to answer choice a -- i.e., you need to compare each of expressions b, c, and d to the input value (a) when that input value is between 0 and 1.<br><BR>\n" );
document.write( "Answer choice b squares the input value x.  Squaring a number between 0 and 1 results in a number smaller than you started with.  So for x between 0 and 1, x^2 is less than x.  So answer choice b is not right.<br><BR>\n" );
document.write( "Obviously answer choice c is not right; the opposite of a number between 0 and 1 is negative, so choice c gives you a number less than what you started with.<br><BR>\n" );
document.write( "Answer choice d takes the reciprocal of the input number; that is, it divides 1 by the input number.<br><BR>\n" );
document.write( "Dividing 1 by a number between 0 and 1 gives a positive number greater than 1.  So if x is between 0 and 1, 1/x is always greater than x.  So answer choice d is the correct answer.<br><BR>\n" );
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