document.write( "Question 1205412: 3y>9-2x\r
\n" ); document.write( "\n" ); document.write( "2x+3y<-6
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #842178 by math_tutor2020(3817) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "3y>9-2x is the same as 2x+3y > 9 when adding 2x to both sides.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "We have this system of inequalities
\n" ); document.write( " $\"system%282x%2B3y+%3E+9%2C2x%2B3y+%3C+-6%29\"$
\n" ); document.write( "which is equivalent to this system
\n" ); document.write( " $\"system%28z+%3E+9%2C+z+%3C+-6%29\"$
\n" ); document.write( "where z = 2x+3y\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "What number is larger than 9 AND smaller than -6 at the same time?
\n" ); document.write( "No such number exists.
\n" ); document.write( "There are no solutions. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In reference to tutor josgarithmetic's graph, 3y>9-2x aka 2x+3y > 9 has you shade above the line 2x+3y = 9 (the red line in their graph).
\n" ); document.write( "while 2x+3y < -6 means you shade below the parallel green line 2x+3y = -6
\n" ); document.write( "These shaded regions do not overlap, which is a visual indicator of \"no solutions\"
\n" ); document.write( " \n" ); document.write( "

\n" );