document.write( "Question 402373: sketch the solution to each system of inequalities 5x-2y<-6
\n" ); document.write( " x+2y<-6 \n" ); document.write( "

Algebra.Com's Answer #284682 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
Note: You never graph an inequality directly.
\n" ); document.write( "You must 1st graph its boundary which is
\n" ); document.write( "always an equality.
\n" ); document.write( "----
\n" ); document.write( "sketch the solution to each system of inequalities
\n" ); document.write( "5x-2y<-6
\n" ); document.write( "1st: Solve for \"y\":
\n" ); document.write( "2y >5x+6
\n" ); document.write( "y > (5/2)x+3
\n" ); document.write( "----
\n" ); document.write( "2nd: Graph the boundary as a dashed line:
\n" ); document.write( "Graph y = (5/2)x+3
\n" ); document.write( "If x = 0 y = 3
\n" ); document.write( "If x = 2 y = 8
\n" ); document.write( " $\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%285%2F2%29x%2B3%29\"$
\n" ); document.write( "3rd: Shade the half-plane ABOVE the boundary
\n" ); document.write( "because you want y GREATER than (5/2)x+3
\n" ); document.write( " $\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy+%3E+%285%2F2%29x%2B3%29\"$
\n" ); document.write( "=========================
\n" ); document.write( "Please follow the same steps for the problem below.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "=========================
\n" ); document.write( "x+2y<-6
\n" ); document.write( " \n" ); document.write( "

\n" );