document.write( "Question 990764: Graph the inequality y>4x \n" ); document.write( "

Algebra.Com's Answer #610778 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 1: Graph the line

. Since the original inequality was \"strictly less than\", use a dashed line to make this graph indicating that point on the line are NOT included in the solution set of the inequality.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 2: Select any point on the coordinate plane that is NOT on the line you just graphed. Generally, (0,0) is a good choice for this step, except when, as in this case, the line passes through the origin. I would choose something like (1,1) in this situation. But any point you would like to use will work so long as it is not on the line.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 3: Substitute the coordinates of the point you selected in step 2 for

and

in the original inequality. If you create a true statement, then shade the half-plane on the side of the line that includes the point selected. Otherwise, shade the other side of the line.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "John
\n" ); document.write( "

\n" ); document.write( "My calculator said it, I believe it, that settles it\r
\n" ); document.write( "\n" ); document.write( "

\n" ); document.write( "

\n" );