SOLUTION: Graph the inequality. y

SOLUTION: Graph the inequality. y > �4

Question 90766: Graph the inequality.
y > �4

Answer by bucky(2189) (Show Source): 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
horizontal line that crosses the y-axis at -4. This graph looks like:
.

.
Note that the graph is a line that represents all the points that have a value of y equal
to -4. But the graph that you were asked to make is to show all the points that have a
y value that is greater than -4. Suppose you shade in the entire graph ABOVE the line that
represents y = -4. Do not include the line itself. The shading should go from minus
infinity to plus infinity in the x-direction and starting at just above the graphed
line for y = -4 it should go upward towards a y value approaching plus infinity.
.
Note that any point in the shaded region (regardless of its x value) will have a y value
that is greater than -4. So the graph you are looking for is the shaded region above the
graphed line for y = -4.
.
Hope this makes sense to you. It might help if you pick some (x, y) points in the shaded
region and you will see that regardless of the x value that you choose for such a point,
the corresponding y value will always be greater than -4 as long as the point is in the
shaded region.
.
For example, the point (-9, -3) is in the shaded region. The y value of this point is
-3 and that is greater than the y value -4 (because it is more positive than -4).
And the point (0, 0) is in the shaded region. Again the y value of this point is zero,
and this is greater than -4. And so on ...

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