document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=362338>Question 362338</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph the solution of the system of linear inequalities.<BR>\n" );
document.write( "y&#8805;-x+2<BR>\n" );
document.write( "y&#8804;4x+7\r<BR>\n" );
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document.write( "I would really appreciate the help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #258197 by </B><A HREF=/tutors/aboutme.mpl?userid=HasanSahin><B>HasanSahin(52)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=HasanSahin><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=HasanSahin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=258197\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First system : y=>-x+2 and<BR>\n" );
document.write( "Second System : y<= 4x+7 if you want to solve these systems separately.\r<BR>\n" );
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document.write( "First think that y = -x +2 and plot this such that;<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=describe_linear_equation.solver>DESCRIBE a linear EQUATION: slope, intercepts, etc</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+x+%2B+1+y+=+2 ALIGN=MIDDLE  ALT=\"1+x+%2B+1+y+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > describes a sloping line. For any <BR>\n" );
document.write( "  equation ax+by+c = 0, slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-a%2Fb+=+-1%2F1 ALIGN=MIDDLE  ALT=\"-a%2Fb+=+-1%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<UL><LI>X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x =  c/a. 2/1 = 2.</LI><LI>Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 2/1 = 2.</LI><LI>Slope is -1/1 = -1.</LI><LI> Equation in slope-intercept form: y=-1*x+2.</LI></UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+2-8%2C+2%2B8%2C+2-8%2C+2%2B8%2C+-1%2Ax%2B2+%29+ ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+2-8%2C+2%2B8%2C+2-8%2C+2%2B8%2C+-1%2Ax%2B2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
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document.write( "After then you will see that the original equation is x + y =>2 so that you have to rake the above part of the line because you want bigger and equal values rather than just 2. I hope I could explain it in here because I can not draw it..\r<BR>\n" );
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document.write( "The second system is also in same logic.. think like y = 4x + 7 and plot it such;<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=describe_linear_equation.solver>DESCRIBE a linear EQUATION: slope, intercepts, etc</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4+x+%2B+1+y+=+7 ALIGN=MIDDLE  ALT=\"-4+x+%2B+1+y+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > describes a sloping line. For any <BR>\n" );
document.write( "  equation ax+by+c = 0, slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-a%2Fb+=+--4%2F1 ALIGN=MIDDLE  ALT=\"-a%2Fb+=+--4%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<UL><LI>X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x =  c/a. 7/-4 = -1.75.</LI><LI>Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 7/1 = 7.</LI><LI>Slope is --4/1 = 4.</LI><LI> Equation in slope-intercept form: y=4*x+7.</LI></UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+-1.75-8%2C+-1.75%2B8%2C+7-8%2C+7%2B8%2C+4%2Ax%2B7+%29+ ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+-1.75-8%2C+-1.75%2B8%2C+7-8%2C+7%2B8%2C+4%2Ax%2B7+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
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document.write( "After then you will see that the original equation is y <= 4x + 7 so that you have to rake the below part of the line because you want smaller and equal values rather than just 7.<BR>\n" );
document.write( "RF.  </SPAN>\n" );
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