Answer:
The graph that matches the inequality is:
Graph D
Step-by-step explanation:
We are given a inequality as:
[tex]y+4\leq \dfrac{1}{2}x-2[/tex]
i.e. it could also be represented in the form:
[tex]y\leq \dfrac{1}{2}x-2-4\\\\i.e.\\\\y\leq \dfrac{1}{2}x-6[/tex]
The graph of this inequality is a straight solid line ( since the inequality is not strict i.e. it is a inequality with a equality sign) that passes through (0,-6) and (12,0) .It also passes through (4,-4) and the shaded region is away from the origin.
Hence, the graph which satisfies all the above property is:
Graph D
