document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59810>Question 59810</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078213479/algebrahomeworkh>Alegbra Concepts and Applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Tell whether or not (-1,-5) is a solution of the system of inequalities\r<BR>\n" );
document.write( "\n" );
document.write( "x + 2y < -12\r<BR>\n" );
document.write( "\n" );
document.write( "and \r<BR>\n" );
document.write( "\n" );
document.write( "3x - y > or equal to -2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41061 by </B><A HREF=/tutors/aboutme.mpl?userid=uma><B>uma(370)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=uma><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=41061\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x + 2y < - 12\r<BR>\n" );
document.write( "\n" );
document.write( "3x - y > or equal to -2\r<BR>\n" );
document.write( "\n" );
document.write( "To check if (-1,-5) is a solution we plug in these values in the given inequalities.\r<BR>\n" );
document.write( "\n" );
document.write( "==> -1 + 2(-5) < -12 [considering the first inequality]<BR>\n" );
document.write( "==> -1 - 10 < - 12<BR>\n" );
document.write( "==> -11 < -12\r<BR>\n" );
document.write( "\n" );
document.write( "This inequality is not true as -11 is > - 12\r<BR>\n" );
document.write( "\n" );
document.write( "So (-1, -5) doesnot satisfy the first inequality.\r<BR>\n" );
document.write( "\n" );
document.write( "3x - y > or equal to - 2<BR>\n" );
document.write( "==> 3(-1) -(-5) > or equal to -2<BR>\n" );
document.write( "==> -3 + 5 > or equal to -2<BR>\n" );
document.write( "==> 2 > -2\r<BR>\n" );
document.write( "\n" );
document.write( "This inequality is  true .\r<BR>\n" );
document.write( "\n" );
document.write( "So (-1, -5) satisfies the second inequality.\r<BR>\n" );
document.write( "\n" );
document.write( "Since one inequality does not hold good for the given values, we conclude that (-1, -5) is not a solution for the given system of inequalities.\r<BR>\n" );
document.write( "\n" );
document.write( "Good Luck!!!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );