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The graph of y< -3 is all points where the y-coordinate is less than -3. The x-coordinate can be anything.
So to graph y< -3, you draw the line y = -3 and all points lying below the line are part of the graph required graph. As points where y is equal to -3 are not to be graphed, we do not consider points on the line y = -3, only those that lie below the line.
The graph of y< -3 is all points that lie below the line y = -3.
You draw a line going through the 3 on the y intercept and shade everything below it
You draw a line going horizontal with the coordinates of (0,-3). Then you shade everything below that line. If y<-3, than all of the solutions must be less than -3 for that statement to be true.
The graph of y <= -3:
Consider y = -3. is a line parallel to x axis at a distance of 3 units below x axis.
So any point (x,y), whose ordinates is below -3 satisfies y < -3.
Therefore the graph of y < = -3 is the collection of points (x,y), for which below the line y = -3.
Therefore the graph y < = -3 is all the points of the region on the line y = -3 and below the line y = -3.
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