document.write( "Question 880266: 2. Graph x + 3y ≤ 6, indicating the solution set with crosshatching or shading. Explain how you determined where to draw the line and shade the area that represents the solution set. \n" ); document.write( "
Algebra.Com's Answer #531333 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Graph the line \"x+%2B+3y+=+6\". This line goes through (0,2) and (6,0). Let me know if you need me to walk you through this portion.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "This line is a solid line.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now plug in the test point (0,0)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+%2B+3y+%3C=+6\"
\n" ); document.write( "\"0+%2B+3%280%29+%3C=+6\"
\n" ); document.write( "\"0+%3C=+6\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The last inequality is true. So (0,0) is in the solution set. So you shade below the solid line.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "This is what the graph will look like\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Shaded region in green with the solid black boundary line.
\n" ); document.write( "
\n" );