document.write( "Question 344460: Please help me graph this equation: Graph the following system of inequalities and label the feasible set FS. Find all corner points (vertices) and label them on the graph. Please show all your work.
\n" ); document.write( " $\"+x%2By+%3C=+6+\"$
\n" ); document.write( " $\"+3x%2B2y+%3C=+13+\"$
\n" ); document.write( " $\"+2x%2By+%3C=+8+\"$
\n" ); document.write( " $\"+x+%3E=+0+\"$ , $\"+y+%3E=+0+\"$
\n" ); document.write( "Thanks! \n" ); document.write( "

Algebra.Com's Answer #246415 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
First plot the constraints.
\n" ); document.write( " $\"+x%2By+=+6+\"$
\n" ); document.write( " $\"highlight%28y1=-x%2B6%29\"$
\n" ); document.write( "Plot the line.
\n" ); document.write( " $\"graph%28300%2C300%2C-2%2C8%2C-2%2C8%2C-x%2B6%29\"$
\n" ); document.write( "Next,
\n" ); document.write( " $\"+3x%2B2y+=+13+\"$
\n" ); document.write( " $\"2y=-3x%2B13\"$
\n" ); document.write( " $\"highlight%28y2=-%283%2F2%29x%2B13%2F2%29\"$
\n" ); document.write( " $\"graph%28300%2C300%2C-2%2C8%2C-2%2C8%2C-x%2B6%2C-%283%2F2%29x%2B13%2F2%29\"$
\n" ); document.write( "Next,
\n" ); document.write( " $\"+2x%2By+=+8+\"$
\n" ); document.write( " $\"highlight%28y3=-2x%2B8%29\"$
\n" ); document.write( " $\"graph%28300%2C300%2C-2%2C8%2C-2%2C8%2C-x%2B6%2C-%283%2F2%29x%2B13%2F2%2C-2x%2B8%29\"$
\n" ); document.write( "Find the intersection of $\"y1\"$ and $\"y2\"$ .
\n" ); document.write( " $\"y1=-x%2B6\"$
\n" ); document.write( " $\"y2=-%283%2F2%29x%2B13%2F2\"$
\n" ); document.write( " $\"-x%2B6=-%283%2F2%29x%2B13%2F2\"$
\n" ); document.write( " $\"-2x%2B12=-3x%2B13\"$
\n" ); document.write( " $\"x=1\"$
\n" ); document.write( "Then
\n" ); document.write( " $\"y=-1%2B6\"$
\n" ); document.write( " $\"y=5\"$
\n" ); document.write( "(1,5)
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Find the intersection of $\"y2\"$ and $\"y3\"$ .
\n" ); document.write( " $\"y2=-%283%2F2%29x%2B13%2F2\"$
\n" ); document.write( " $\"y3=-2x%2B8\"$
\n" ); document.write( " $\"-%283%2F2%29x%2B13%2F2=-2x%2B8\"$
\n" ); document.write( " $\"-3x%2B13=-4x%2B16\"$
\n" ); document.write( " $\"x=3\"$
\n" ); document.write( "Then
\n" ); document.write( " $\"y=-2%283%29%2B8\"$
\n" ); document.write( " $\"y=2\"$
\n" ); document.write( "(3,2)
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Find the y-intercept of $\"y1\"$ and the x-intercept of $\"y3\"$ .
\n" ); document.write( " $\"y1=-x%2B6\"$
\n" ); document.write( " $\"y1=6\"$
\n" ); document.write( "(0,6)
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"y3=-2x%2B8\"$
\n" ); document.write( " $\"0=-2x%2B8\"$
\n" ); document.write( " $\"2x=8\"$
\n" ); document.write( " $\"x=4\"$
\n" ); document.write( "(4,0)
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Plot the intersection points and the intercepts.
\n" ); document.write( "

\n" ); document.write( " \n" ); document.write( "

\n" );