document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=687692>Question 687692</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sketch the region the region that corresponds to each inequality. Then use your graph to determine if (3,-2)is a solution to the inequality and explain :\r<BR>\n" );
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document.write( "A) X- 3Y >/ 3 \r<BR>\n" );
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document.write( "B) X /< -2 \r<BR>\n" );
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document.write( ">/ MEANING GREATER THAN OR EQUAL TO <BR>\n" );
document.write( "/< LESS THAN OR EQUAL TO  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #425280 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=425280\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sketch the region the region that corresponds to each inequality. Then use your graph to determine if (3,-2)is a solution to the inequality and explain : <BR>\n" );
document.write( "A) X- 3Y >/ 3<BR>\n" );
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document.write( "y <= (x - 3)/3<BR>\n" );
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document.write( "Graph the boundary as a solid line:<BR>\n" );
document.write( "Let x = 0, then y = -1<BR>\n" );
document.write( "Let x = 3, then y = 0<BR>\n" );
document.write( "Plot the 2 points and draw a line thru them><BR>\n" );
document.write( "Shade the half-plane BELOW the boundary since you<BR>\n" );
document.write( "want the area LESS than (x-3)/3<BR>\n" );
document.write( "Test the point (3,-2)<BR>\n" );
document.write( "-2 < (3-3)/3 = 0<BR>\n" );
document.write( "True, so the point is a solution of the inequality.<BR>\n" );
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document.write( "B) X /< -2<BR>\n" );
document.write( "x <= -2<BR>\n" );
document.write( "Draw the boundary as a solid line:<BR>\n" );
document.write( "x = -2 <BR>\n" );
document.write( "Sketch that as a vertical line thru all points where x = -2.<BR>\n" );
document.write( "Shade the half-plane to the left of the boundary because<BR>\n" );
document.write( "you want x Less than -2.<BR>\n" );
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document.write( "(3,-2) is not in the solution set because 3 is not <= -2.<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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