Answer:
Graph D is the correct representation of the given inequality.
Step-by-step explanation:
We are given the following inequality:
[tex]y + 4 \leq x - 2[/tex]
This inequality can be written as:
[tex]y + 4 \leq x - 2\\y \leq x -2-4\\y \leq x - 6[/tex]
The attached image shows the graph for the given inequality.
Since, the point (4,-4) lies in the region of the given inequality shown by black color in the image.
Also, the line [tex]y = x - 6[/tex] is a part of the solution of the given inequality.
Hence, Graph D is the correct representation of the given inequality.
