document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182456>Question 1182456</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether each ordered pair is a solution to the inequality y>−2x−4.\r<BR>\n" );
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document.write( "(0,1)<BR>\n" );
document.write( "(3,10)<BR>\n" );
document.write( "(4,9)<BR>\n" );
document.write( "(7,−5)<BR>\n" );
document.write( "(−2,−9)\r<BR>\n" );
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document.write( "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 #812497 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=812497\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Let's plug the x,y coordinates of choice A into the inequality\r<BR>\n" );
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document.write( "So we'll plug in x = 0 and y = 1\r<BR>\n" );
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document.write( "y > -2x-4<BR>\n" );
document.write( "1 > -2(0)-4<BR>\n" );
document.write( "1 > 0-4<BR>\n" );
document.write( "1 > -4\r<BR>\n" );
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document.write( "The last inequality shown above is true because 1 is indeed larger than -4, ie, 1 is to the right of -4 on the number line.\r<BR>\n" );
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document.write( "So (0,1) is a solution.\r<BR>\n" );
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document.write( "Now let's try the coordinates for point B\r<BR>\n" );
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document.write( "y > -2x-4<BR>\n" );
document.write( "10 > -2(3)-4<BR>\n" );
document.write( "10 > -6-4<BR>\n" );
document.write( "10 > -10<BR>\n" );
document.write( "This is also true, so point B is also a solution point.\r<BR>\n" );
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document.write( "This process is repeated for choices C through E.\r<BR>\n" );
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document.write( "You should find that points A through D are all solution points. Only point E is not a solution. \r<BR>\n" );
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document.write( "Effectively, the answer is everything but choice E.\r<BR>\n" );
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document.write( "Check out the graph below. The graph of y > -2x-4 consists of the dashed boundary line y = -2x-4. This line goes through the two points (0,-4) and (1, -6). \r<BR>\n" );
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document.write( "The shaded region is above the boundary. The dashed boundary line visually means \"points on the boundary are <u>not</u> solutions\". If you want boundary points to be solutions, then you would need to add on an \"or equal to\". In other words, you would need to graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%3E=+-2x-4 ALIGN=MIDDLE  ALT=\"y+%3E=+-2x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to have a solid boundary line and have points on the boundary count as solutions. \r<BR>\n" );
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document.write( "Graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"https://i.imgur.com/vq7ny9g.png\"><BR>\n" );
document.write( "We can see that points A through D are in the blue solution region, which is above the dashed boundary line. Point E is the only non-solution outside this blue region. I used GeoGebra to make the graph.\r<BR>\n" );
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document.write( "</font> </SPAN>\n" );
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