document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66904>Question 66904</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072549017/algebrahomeworkh>Beginning Algebra </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Graph the following inequalities: 3x - 4y < 12.\r<BR>\n" );
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document.write( "Any help with solving and graphing this equation would be greatly appreciated. Thanks.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47576 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=47576\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph the following inequalities: 3x - 4y < 12.<BR>\n" );
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document.write( "3x - 4y < 12<BR>\n" );
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document.write( "Put it in the general\"y=\" form:<BR>\n" );
document.write( "-4y < 12 - 3x<BR>\n" );
document.write( "We need y to be positive, multiply equation by -1, when you do this, you have to<BR>\n" );
document.write( "reverse the inequality sign:<BR>\n" );
document.write( "+4y > +3x - 12<BR>\n" );
document.write( "y > (3/4x) - 12/4<BR>\n" );
document.write( "y > .75x - 3, use decimals for convenience here.<BR>\n" );
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document.write( "Substitute these values for x and find y:<BR>\n" );
document.write( "I chose a range of -4 to +8<BR>\n" );
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document.write( "x = -4, substitute -4 for x in the equation:<BR>\n" );
document.write( "y = .75(-4) - 3<BR>\n" );
document.write( "y = -3 - 3<BR>\n" );
document.write( "y = -6<BR>\n" );
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document.write( "x = 0, do the same here<BR>\n" );
document.write( "y = .75(0)- 3<BR>\n" );
document.write( "y = 3<BR>\n" );
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document.write( "x = +8, and here<BR>\n" );
document.write( "y = .75(8) - 3<BR>\n" );
document.write( "y = 6 - 3<BR>\n" );
document.write( "y = + 3<BR>\n" );
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document.write( "A table would look like:<BR>\n" );
document.write( "x | y<BR>\n" );
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document.write( "-4|-6<BR>\n" );
document.write( " 0|-3<BR>\n" );
document.write( "+8| 3<BR>\n" );
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document.write( "Choose a convenient scale that will contained these coordinates, plot them.<BR>\n" );
document.write( "Your graph should look like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+6%2C+.75x-3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+6%2C+.75x-3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Remember our equation: y > .75x - 3, the \"greater than\" means the area is above<BR>\n" );
document.write( "but not at the line.  </SPAN>\n" );
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