document.write( "Question 90766: Graph the inequality.
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document.write( " y > –4
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Algebra.Com's Answer #66504 by bucky(2189)![]() ![]() ![]() 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( " \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( " |