document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195572>Question 1195572</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sketch the following inequalities on the graph.\r<BR>\n" );
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document.write( "A. y is less than -4\r<BR>\n" );
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document.write( "B. x is greater than or equal to 5\r<BR>\n" );
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document.write( "C.y-7 is less than or equal to 0.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #828101 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52797)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=828101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I read and understand your request as if you want me to sketch three independent graphs in three separate plots.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(not one sketch for all three inequalities).\r<BR>\n" );
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document.write( "(A)  y < -4.\r\n" );
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document.write( "     The line y = -4 is horizontal line parallel to x-axis.\r\n" );
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document.write( "     It is located 4 units below x-axis.\r\n" );
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document.write( "     The solution to this inequality is half-plane in (x,y)-coordinate plane,\r\n" );
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document.write( "     whose points are all located below the line y = -4, not including the line itself.\r\n" );
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document.write( "     Having this description, you can sketch the solution set by shading the region below the line y = -4,\r\n" );
document.write( "     not including the points on the line itself.\r\n" );
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document.write( "     It means that on the sketch, line y = -4 should be shown as a dotted line.\r\n" );
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document.write( "(B)  x >= 5.\r\n" );
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document.write( "     The line x = 5 is vertical line parallel to y-axis.\r\n" );
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document.write( "     It is located 5 units to the right of y-axis.\r\n" );
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document.write( "     The solution to this inequality is half-plane in (x,y)-coordinate plane,\r\n" );
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document.write( "     whose points are all located to the right of the line x = 5, including this line itself.\r\n" );
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document.write( "     Having this description, you can sketch the solution set by shading the region to the right of the line x = 5,\r\n" );
document.write( "     including the points on the line itself.\r\n" );
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document.write( "     It means that on the sketch, line x = 5 should be shown as a solid line.\r\n" );
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document.write( "(C)  The given inequality  y-7 <= 0  is the same (is EQUIVALENT) to THIS inequality  y <= 7.\r\n" );
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document.write( "     The line y = 7 is horizontal line parallel to x-axis.\r\n" );
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document.write( "     It is located 7 units above x-axis.\r\n" );
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document.write( "     The solution to this inequality is half-plane in (x,y)-coordinate plane,\r\n" );
document.write( "     whose points are all located below the line y = 7.\r\n" );
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document.write( "     Having this description, you can sketch the solution set by shading the region below the line y = 7,\r\n" );
document.write( "     including the points on the line itself.\r\n" );
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document.write( "     It means that on the sketch, line y = 7 should be shown as a solid line.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "Having my response and descriptions, &nbsp;you can make plots / (sketches) on your own.\r<BR>\n" );
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document.write( "I definitely don't want make these sketches for you or instead of you, &nbsp;since it is not the method to teach.\r<BR>\n" );
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document.write( "Now you are ready to complete the job on your own, because you have all necessary words in your mouth <BR>\n" );
document.write( "and all necessary explanations/instructions in your mind.\r<BR>\n" );
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document.write( "------------------\r<BR>\n" );
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document.write( "To see many solved problems on graphical solution of systems of inequalities\r<BR>\n" );
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document.write( "in two variables &nbsp;(on a coordinate plane), &nbsp;look into the lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Graphs/Solving-systems-of-inequalities-in-two-unknown-graphically-in-a-coordinate-plane.lesson>Solving systems of inequalities in two unknown graphically in a coordinate plane</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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