document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84787>Question 84787</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have real troubles with these. Please help.<BR>\n" );
document.write( "Graph the inequality.<BR>\n" );
document.write( "	y is greater than or equal to 3x<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 #61078 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=61078\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve this by graphing the line y = 3x.<BR>\n" );
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document.write( "This line represents the points in which y = 3x. The points above this line are all the<BR>\n" );
document.write( "points in which y is greater than 3x. You can identify these points by shading in the area<BR>\n" );
document.write( "above the graphed line, and include the graphed line in the shading. Then you can say that<BR>\n" );
document.write( "any point within the shaded area has a y value that will be greater than 3 times its <BR>\n" );
document.write( "corresponding x value.<BR>\n" );
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document.write( "To help you visualize this, here's a picture of the graph y = 3x<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-20%2C20%2C-20%2C20%2C3x%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-20%2C20%2C-20%2C20%2C3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Imagine that starting on the line and going upward you shade the entire area above the<BR>\n" );
document.write( "line.<BR>\n" );
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document.write( "Then if you put your pencil point on any place in the shaded area, the y value of that<BR>\n" );
document.write( "point will be equal to or greater than 3 times its x value. For example, find the point<BR>\n" );
document.write( "(-3, +1). That point is above the line. It has an x value of -3 and a y value of +1. For <BR>\n" );
document.write( "that point 3 times x is -9. And you can see that with a value of +1 y is greater than the<BR>\n" );
document.write( "3x value of -9. [+1 is greater than -9 by definition. A positive number is greater than <BR>\n" );
document.write( "a negative number.] Another example, locate the point (1, 6). It also is in the shaded area<BR>\n" );
document.write( "above the line.  3 times the x value of 1 is 3 and the y value of 6 is greater than 3. So<BR>\n" );
document.write( "the point (1, 6) is in the solution set.<BR>\n" );
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document.write( "On the other hand, if you put your pencil point any place in the unshaded area below the<BR>\n" );
document.write( "line, the y value of that point will be less that 3 times its corresponding x value.<BR>\n" );
document.write( "As an example of this, find the point ( 2, 1). It is in the unshaded area below the graphed<BR>\n" );
document.write( "line. Three times the x value of this point is 3*2 or 6. It is greater than the y value<BR>\n" );
document.write( "of 1. For this point it is not true that y is greater than or equal to 3x because 1<BR>\n" );
document.write( "is not greater than or equal to 6. So this point is not in the solution set to this problem.<BR>\n" );
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document.write( "Hopefully this will make some sense and eventually you'll see the concept. </SPAN>\n" );
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