document.write( "Question 436897: How would I solve this problem?\r
\n" ); document.write( "\n" ); document.write( "Graph the solution set of the system of inequalities or indicate that the system has no solution.\r
\n" ); document.write( "\n" ); document.write( "-x + 2y < -6 (This less than symbol is underlined.)
\n" ); document.write( "3x + 2y > - 18\r
\n" ); document.write( "\n" ); document.write( "I know that shading would be involved but how does it look like graphed?\r
\n" ); document.write( "\n" ); document.write( "Thank you very much for your help. \n" ); document.write( "

Algebra.Com's Answer #302330 by scott8148(6628) $\"\"$ $\"About$

You can put this solution on YOUR website!
solving these as equations (instead of inequalities) shows where the \"boundary\" lines are for the system\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-x + 2y < -6 crosses the x-axis at (6,0) and crosses the y-axis at (0,-3)
\n" ); document.write( "___ it is a solid line (less than or equal to) and the shading would be below the line\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3x + 2y > - 18 crosses the x-axis at (-6,0) and crosses the y-axis at (0,-9)
\n" ); document.write( "___ it is a dotted line and the shading would be above the line\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the lines intersect at (-3,-4.5) and divide the x-y plane into 4 wedges
\n" ); document.write( "___ since the solution area is above one line AND below the other , the shaded area should be the wedge to the right \n" ); document.write( "

\n" );