Answer: See attached for the graph. Yes, it is a solution.
Explanation:
First, we will graph each of the inequalities.
y > 2x + 4
➜ We will shade above the line.
➜ The b-intercept is 4.
➜ The slope is 2.
➜ Dashed line.
-y - 2x ≥ 4
➜ The slope-intercept form of this inequality is y ≤ -2x - 4.
➜ We will shade below the line.
➜ The b-intercept is -4.
➜ The slope is -2.
➜ Solid line.
Next, we will label the solution set. I have labeled this as the instructions asked with a "S," it is where the shaded portions overlap.
Lastly, (-2, 0) is a solution. Since y ≤ -2x - 4 (-y - 2x ≥ 4) includes equal to, it is apart of the solution set.