document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=128898>Question 128898</A>: <I><SPAN STYLE=\"word-break: break-all;\"> without graphing, determine which of the following 3 points:<BR>\n" );
document.write( "P1 = (8,6)<BR>\n" );
document.write( "P2 = (2,5)<BR>\n" );
document.write( "P3 = (4,1)<BR>\n" );
document.write( "are part of the graph of the following system:<BR>\n" );
document.write( "y - 10x <= 0<BR>\n" );
document.write( "2y - 3x >= 0<BR>\n" );
document.write( "y + x <= 15 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94270 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=94270\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> without graphing, determine which of the following 3 points:<BR>\n" );
document.write( "P1 = (8,6)<BR>\n" );
document.write( "P2 = (2,5)<BR>\n" );
document.write( "P3 = (4,1)<BR>\n" );
document.write( "are part of the graph of the following system:<BR>\n" );
document.write( "y - 10x <= 0<BR>\n" );
document.write( "2y - 3x >= 0<BR>\n" );
document.write( "y + x <= 15\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Just substitute the values for the x- and y-coordinates into the inequalities.  If all three statements are true for a point, then the point is in the solution set, but if any one of the statements is false, the point is not in the solution set.\r<BR>\n" );
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document.write( "6 - 10(8) <= 0:  True<BR>\n" );
document.write( "2(6)-3(8) >= 0:  False.  Don't bother checking the third inequality, the point P1(8,6) is not in the solution set.\r<BR>\n" );
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document.write( "Follow the same procedure for the other two points. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );