document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=870471>Question 870471</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tell whether the ordered pair is a solution of the given system: Show your work PLEASE!\r<BR>\n" );
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document.write( "Ordered Pair: (2,-2)\r<BR>\n" );
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document.write( "System of Inequalities:\r<BR>\n" );
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document.write( "y < x-3<BR>\n" );
document.write( "y > -x+3\r<BR>\n" );
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document.write( "http://prntscr.com/3ga3w0\r<BR>\n" );
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document.write( "copy & paste the link ^^ above to see the ordered pair please, I couldn't write it because it wont let me  please help and thank you!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #524879 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=524879\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the ordered pair, or point, (2,-2) was a solution to the system of inequalities, then it has to make ALL of the inequalities true inequalities (ie true statements). <BR>\n" );
document.write( "Something like 1 < 5 is true because 1 is indeed less than 5. <BR>\n" );
document.write( "On the other hand, 1 > 5 is false because 1 is smaller than 5 (not the other way around).\r<BR>\n" );
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document.write( "To determine if (2,-2) is a solution to the system, we simply plug in (x,y) = (2,-2) into each inequality individually. \r<BR>\n" );
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document.write( "Let's plug in (x,y) = (2,-2) into y < x-3\r<BR>\n" );
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document.write( "y < x-3\r<BR>\n" );
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document.write( "-2 < 2-3 .... plug in (x,y) = (2,-2), ie plug in x = 2, y = -2\r<BR>\n" );
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document.write( "-2 < -1\r<BR>\n" );
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document.write( "The last inequality -2 < -1 is true since -2 is less than -1. \r<BR>\n" );
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document.write( "Let's plug in (x,y) = (2,-2) into y > -x+3\r<BR>\n" );
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document.write( "y > -x+3\r<BR>\n" );
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document.write( "-2 > -(2)+3 .... plug in (x,y) = (2,-2), ie plug in x = 2, y = -2\r<BR>\n" );
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document.write( "-2 > -2 + 3\r<BR>\n" );
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document.write( "-2 > 1\r<BR>\n" );
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document.write( "The last inequality -2 > 1 is false since -2 is really smaller than -1 (not larger).\r<BR>\n" );
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document.write( "So (x,y) = (2,-2) makes y < x-3 true, but it makes y > -x+3 false.\r<BR>\n" );
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document.write( "To be a solution to the system, it has to make ALL of the inequalities of that system true. Because at least one is false (ie not all are true), (x,y) = (2,-2) is NOT a solution to the system.\r<BR>\n" );
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document.write( "Final Answer: (2,-2) is NOT a solution to the system. </SPAN>\n" );
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