Answer:
HEHE
Explanation:
To determine which inequality creates the given graph, let's analyze the characteristics of the graph.
The given graph is represented by a solid line. In graphing inequalities, a solid line indicates that the points on the line are included in the solution set.
Next, we observe the shaded region on the graph. The shaded region is below the line. In inequality notation, this means that the points below the line satisfy the given inequality.
Now let's examine the options provided:
- -2x + 3y ≤ −6: This inequality represents a line that is below or on the line and includes the points on the line. Therefore, it matches the characteristics of the given graph.
- -2x + 3y ≥ −6: This inequality represents a line that is above or on the line, which does not match the characteristics of the given graph.
- -2x + 3y < -6: This inequality represents a line that is strictly below the line, excluding the points on the line. Therefore, it does not match the characteristics of the given graph.
- -2x + 3y > -6: This inequality represents a line that is strictly above the line, excluding the points on the line. Therefore, it does not match the characteristics of the given graph.
From the analysis, we can conclude that the correct inequality that creates the given graph is -2x + 3y ≤ −6.