document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=996047>Question 996047</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which ordered pair is a solution to the linear inequality below?<BR>\n" );
document.write( "3x-5yis greater than or equal to 10<BR>\n" );
document.write( "A. (1,4)<BR>\n" );
document.write( "B. (6, -3)<BR>\n" );
document.write( "C. (-5, -2)<BR>\n" );
document.write( "D. (2, 0) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #614631 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=614631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's check each answer choice.\r<BR>\n" );
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document.write( "Checking choice A. (1,4)\r<BR>\n" );
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document.write( "3x-5y >= 10<BR>\n" );
document.write( "3*1-5*4 >= 10 ... plug in (x,y) = (1,4)<BR>\n" );
document.write( "3-20 >= 10<BR>\n" );
document.write( "-17 >= 10 ... false\r<BR>\n" );
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document.write( "since -17 >= 10 is false, this makes 3x-5y >= 10 false when (x,y)=(1,4). <BR>\n" );
document.write( "(1,4) is NOT a solution.\r<BR>\n" );
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document.write( "Checking choice B. (6,-3)\r<BR>\n" );
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document.write( "3x-5y >= 10<BR>\n" );
document.write( "3*6-5*(-3) >= 10 ... plug in (x,y) = (6,-3)<BR>\n" );
document.write( "18+15 >= 10<BR>\n" );
document.write( "33 >= 10 ... true\r<BR>\n" );
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document.write( "since 33 >= 10 is true, this makes 3x-5y >= 10 true when (x,y)=(6,-3). <BR>\n" );
document.write( "(6,-3) is a solution.\r<BR>\n" );
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document.write( "Checking choice C. (-5, -2)\r<BR>\n" );
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document.write( "3x-5y >= 10<BR>\n" );
document.write( "3*(-5)-5*(-2) >= 10 ... plug in (x,y) = (-5, -2)<BR>\n" );
document.write( "-15+10 >= 10<BR>\n" );
document.write( "-5 >= 10 ... false\r<BR>\n" );
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document.write( "since -5 >= 10 is false, this makes 3x-5y >= 10 false when (x,y)=(-5, -2). <BR>\n" );
document.write( "(-5, -2) is NOT a solution.\r<BR>\n" );
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document.write( "Checking choice D. (2, 0)\r<BR>\n" );
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document.write( "3x-5y >= 10<BR>\n" );
document.write( "3*(2)-5*(0) >= 10 ... plug in (x,y) = (2, 0)<BR>\n" );
document.write( "6-0 >= 10<BR>\n" );
document.write( "6 >= 10 ... false\r<BR>\n" );
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document.write( "since 6 >= 10 is false, this makes 3x-5y >= 10 false when (x,y)=(2, 0). <BR>\n" );
document.write( "(2, 0) is NOT a solution.\r<BR>\n" );
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document.write( "Summary:\r<BR>\n" );
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document.write( "Only (6,-3) is a solution. So the only answer possible is <font color=\"red\">B. (6, -3)</font> </SPAN>\n" );
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