document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79316>Question 79316</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072538953/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Graph each compound inequality. Due tonight.\r<BR>\n" );
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document.write( "4x - 3y < 3 or<BR>\n" );
document.write( "2x + y > 2\r<BR>\n" );
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document.write( "(Please note that the greater than and less than signs are underlined). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56931 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=56931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x - 3y <= 3 or<BR>\n" );
document.write( "2x + y >= 2 <BR>\n" );
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document.write( "You first have to graph the EQUALITIES:<BR>\n" );
document.write( "y=(1/3)(4x-3=(4/3)x-1<BR>\n" );
document.write( "y=-2x+2<BR>\n" );
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document.write( "Now you need to find the half-plane solution set for each INEQUALITY:<BR>\n" );
document.write( "Pick a test point that is not on the boundary line y=(4/3)x-1<BR>\n" );
document.write( "Pick (0,0)<BR>\n" );
document.write( "Substitute that into the INEQUALITY, y>(4/3)x-1 to see if the side of the line<BR>\n" );
document.write( "that contains (0,0) satisfies the INEQUALITY:<BR>\n" );
document.write( "0>(3/4)*0-1<BR>\n" );
document.write( "This is true so the half-plane containing (0,0) is the solution set for <BR>\n" );
document.write( "4x - 3y <= 3; shade that half-plane that is above the boundary line.<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Pick a test point that is not on the boundary line for y=2x+2.<BR>\n" );
document.write( "Pick (0,0)<BR>\n" );
document.write( "Substitute that into the INEQUALITY, 2x + y >= 2 :<BR>\n" );
document.write( "2*0+0>2; 0>2<BR>\n" );
document.write( "That is false so the half-plane that does NOT contain (0,0) is the solution<BR>\n" );
document.write( "set for 2x+y>2; shade that half-plane.<BR>\n" );
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document.write( "Finally, find the intersection of the two shaded half planes to get<BR>\n" );
document.write( "the solution for the system of inequalities.<BR>\n" );
document.write( "============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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