document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1093847>Question 1093847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability of an event A is 3-4x. Find the value of x which can be and cannot be. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #708531 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=708531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the probability of an event has to be greater than or equal to 0 and less than or equal to 1.\r<BR>\n" );
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document.write( "therefore:\r<BR>\n" );
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document.write( "3-4x >= 0 and 3-4x <= 1\r<BR>\n" );
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document.write( "when 3-4x >= 0, solve for x to get x <= 3/4.\r<BR>\n" );
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document.write( "when 3-4x <= 1, solve for x to get x >= 1/2.\r<BR>\n" );
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document.write( "x has to be greater than or equal to 1/2 and less than or equal to 3/4.\r<BR>\n" );
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document.write( "x cannot be less than 1/2 and cannot be greater than 3/4.\r<BR>\n" );
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document.write( "when x = 1/2, 3-4x becomes 3-4*1/2 which becomes 3-2 which becomes 1.\r<BR>\n" );
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document.write( "when x = 3/4, 3-4x becomes 3-4*3/4 which becomes 3-3 which becomes 0.\r<BR>\n" );
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document.write( "if x is less than 1/2, say 0, then you get 3-4*0 = 3-0 = 3 which is invalid.\r<BR>\n" );
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document.write( "if x is greater than 3/4, say 1, then you get 3-4*1 = -1 which is invalid.\r<BR>\n" );
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document.write( "when x is between 1/2 and 3/4, say 5/8, then you get 3-4*5/8 = 3-20/8 = (24-20)/8 = 4/8 = 1/2 which is between 0 and 1, therefore valid.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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