document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=43309>Question 43309</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm not finding a single solution to the attached problem.  It seems they would all be true.  What am I missing??\r<BR>\n" );
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document.write( "Solve the system of inequalities.<BR>\n" );
document.write( "{ x+y greater than or =16  and  y greater than or =x\r<BR>\n" );
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document.write( "Select the correct answer.<BR>\n" );
document.write( "a. { xgreater than or =8-y,  y<4 and xgreater than or =y, ygreater than or =4\r<BR>\n" );
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document.write( "b. { xless than or =16-y, yless than or =12 and xless than or =y, y < 12\r<BR>\n" );
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document.write( "c. { xless than or =16-y, ygreater than or =8 and xless than or =y, y < 8\r<BR>\n" );
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document.write( "d. { xless than or =16-y, ygreater than or =5 and xless than or =y, y < 5\r<BR>\n" );
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document.write( "e. { xless than or =16-y, ygreater than or =13 and xless than or =y, y < 5\r<BR>\n" );
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document.write( "A paysite for tutoring gave me the following answer, but I don't understand.  I drew the graph, but I don't understand why C is the answer.  Their answer was \"The value of y in immaterial, that is y >or= 8 or y < 8.\r<BR>\n" );
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document.write( "Option (c)\"  Why is the value of Y immaterial??  If I didn't shave my head, I'd still be bald!!  Thanks for any help.<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 #28334 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=28334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> { x+y greater than or =16 and y greater than or =x \r<BR>\n" );
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document.write( "Graph the line y=x; Hatch the half-plane above that line where y>x\r<BR>\n" );
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document.write( "Graph the line y=-x+16; Hatch the half-plane above that line where y>-x+16\r<BR>\n" );
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document.write( "The v-shaped area that is hatched twice is the solution area.\r<BR>\n" );
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document.write( "Note that the lines cross at (8,8), so y must be > or = to 8.\r<BR>\n" );
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document.write( "Answer \"c\" says y<8; it cannot be the correct answer.<BR>\n" );
document.write( "But your \"c\" also says y>=8.  That is confusing.<BR>\n" );
document.write( "Cheers,\r<BR>\n" );
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document.write( "The answer should be y>=x and y>=16-x<BR>\n" );
document.write( "That answer would force y to be >=8.<BR>\n" );
document.write( "Stan H.   </SPAN>\n" );
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