document.write( "Question 44578: Solve the following system of linear inequalities by graphing.\r
\n" ); document.write( "\n" ); document.write( "3x-y<2\r
\n" ); document.write( "\n" ); document.write( "x+y>2 \n" ); document.write( "

Algebra.Com's Answer #29466 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"3x+-+y+%3C+2\"$
\n" ); document.write( " $\"x+%2B+y+%3E+2\"$
\n" ); document.write( "the 1st one:
\n" ); document.write( " $\"-y+%3C+-3x+%2B+2\"$
\n" ); document.write( " $\"y+%3E+3x+-+2\"$
\n" ); document.write( "the 2nd one:
\n" ); document.write( " $\"y+%3E+-x+%2B+2\"$
\n" ); document.write( "graph $\"y+=+3x+-+2\"$
\n" ); document.write( "and
\n" ); document.write( " $\"y+=+-x+%2B+2\"$
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+3x+-+2%2C+-x+%2B+2%29+\"$
\n" ); document.write( "The solution is the space which is to the left of $\"y+=+3x+-+2\"$
\n" ); document.write( "and to the right of $\"y+=+-+x+%2B+2\"$
\n" ); document.write( "check this. From the graph, it looks like the point (0, 3) falls
\n" ); document.write( "in the solution region.
\n" ); document.write( "1st equation
\n" ); document.write( "3 > 3*0 - 2
\n" ); document.write( "3 > -2
\n" ); document.write( "TRUE
\n" ); document.write( "2nd
\n" ); document.write( "3 > -0 + 2
\n" ); document.write( "3 > 2
\n" ); document.write( "TRUE \n" ); document.write( "

\n" );