document.write( "Question 90766: Graph the inequality.
\n" ); document.write( " y > –4
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #66504 by bucky(2189)\"\" \"About 
You can put this solution on YOUR website!
A way to look at this is to graph the equation: y = -4. The graph of this equation is a
\n" ); document.write( "horizontal line that crosses the y-axis at -4. This graph looks like:
\n" ); document.write( ".
\n" ); document.write( "\"graph%28300%2C300%2C-20%2C20%2C-10%2C10%2C-4%29\"
\n" ); document.write( ".
\n" ); document.write( "Note that the graph is a line that represents all the points that have a value of y equal
\n" ); document.write( "to -4. But the graph that you were asked to make is to show all the points that have a
\n" ); document.write( "y value that is greater than -4. Suppose you shade in the entire graph ABOVE the line that
\n" ); document.write( "represents y = -4. Do not include the line itself. The shading should go from minus
\n" ); document.write( "infinity to plus infinity in the x-direction and starting at just above the graphed
\n" ); document.write( "line for y = -4 it should go upward towards a y value approaching plus infinity.
\n" ); document.write( ".
\n" ); document.write( "Note that any point in the shaded region (regardless of its x value) will have a y value
\n" ); document.write( "that is greater than -4. So the graph you are looking for is the shaded region above the
\n" ); document.write( "graphed line for y = -4.
\n" ); document.write( ".
\n" ); document.write( "Hope this makes sense to you. It might help if you pick some (x, y) points in the shaded
\n" ); document.write( "region and you will see that regardless of the x value that you choose for such a point,
\n" ); document.write( "the corresponding y value will always be greater than -4 as long as the point is in the
\n" ); document.write( "shaded region.
\n" ); document.write( ".
\n" ); document.write( "For example, the point (-9, -3) is in the shaded region. The y value of this point is
\n" ); document.write( "-3 and that is greater than the y value -4 (because it is more positive than -4).
\n" ); document.write( "And the point (0, 0) is in the shaded region. Again the y value of this point is zero,
\n" ); document.write( "and this is greater than -4. And so on ...
\n" ); document.write( "
\n" ); document.write( "
\n" );