document.write( "Question 127338: Graph the solution set of x > –7. \n" ); document.write( "
Algebra.Com's Answer #93283 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "Now let's graph the solution set\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Start with the given inequality:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+%3E+-7\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Set up a number line:\r
\n" ); document.write( "\n" ); document.write( "\"number_line%28500%2C-17%2C3%29\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now plot the point \"x+=+-7\" on the number line\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"number_line%28500%2C-17%2C3%2C++-7%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now pick any test point you want, I'm going to choose x =0, and test the inequality \"x+%3E+-7\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0%3E+-7\" Plug in \"x+=0\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Since this inequality is true, we simply shade the entire portion in which contains the point x =0 using the point \"x+=+-7\" as the boundary.This means we shade everything to the right of the point \"x+=+-7\" like this:\r
\n" ); document.write( "\n" ); document.write( " Graph of \"x+%3E+-7\" with the shaded region in blue\r
\n" ); document.write( "\n" ); document.write( "note: at the point \"x+=+-7\", there is an open circle. This means the point \"x+=+-7\" is excluded from the solution set.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );