First we draw a straight line for y = x + 3.

The ordered pairs for the graph y = x+3.

x	-4	-3	-2	-1	0	1	2
y = x + 3	-1	0	1	2	3	4	5
Ordered pairs	(-4,-1)	(-3,0)	(-2,1)	(-1,2)	(0,3)	(1,4)	(2,5)

To find out the region for y ³ x + 3, first we find out that the orgin lies in the region represented by the graph or not.
We substitute the coordinates of the origin (0,0) in the given inequation,
y ³ x + 3, we get,
0 ³ 0 + 3
0 ³ 3, this is wrong.
The origin doew not lie in the half plane represented the graph.
Graph for y ³ x + 3, is

The boundary line y = x + 3 lies in the region represented by above graph. The boundary line is drawn as a dark line. The region indicated by the graph is shaded.

Its solution set is {(x,y)/(x,y) Î R and y ³ x + 3}

1. Draw a graph for y ³ x + 6.

2. Draw a graph for y ³ x + 1.

3. Draw a graph for y ³ x + 2.

4. Draw a graph for y ³ x + 4.

5. Draw a graph for y ³ x + 5.