document.write( "Question 748748: How do you graph the inequality y < |x|+ 5? \n" ); document.write( "

Algebra.Com's Answer #455640 by tommyt3rd(5050) $\"\"$ $\"About$

You can put this solution on YOUR website!
Absolute value is the distance from 0 so it is always positive. It is also a line with a slope of 1 (or -1 for negative numbers).\r
\n" ); document.write( "\n" ); document.write( "If we add 5 after we take the absolute value of x, then the graph is shifted vertically upward by 5 units.\r
\n" ); document.write( "\n" ); document.write( "Then we test a point, say (0,0), to see if it makes our inequality true:
\n" ); document.write( " 0< Abs(0)+5 which is true so we shade below the graph (but I don't know how to do the shading on the graph)\r
\n" ); document.write( "\n" ); document.write( "Notice the table:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x, y=abs(x)+5
\n" ); document.write( "-3, 8
\n" ); document.write( "-2, 7
\n" ); document.write( "-1, 6
\n" ); document.write( "0, 5
\n" ); document.write( "1, 6
\n" ); document.write( "2, 7
\n" ); document.write( "3, 8\r
\n" ); document.write( "\n" ); document.write( "Here is the graph:\r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " $\"%0D%0Agraph%28+300%2C+200%2C+-4%2C+4%2C+-1%2C+10%2C+abs%28x%29%2B5%29%0D%0A%0D%0A\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( ":) \n" ); document.write( "

\n" );