What is the graph of the inequality in the coordinate plane? y < –2 (1 point) Responses Image with alt text: A coordinate plane with a dashed horizontal boundary line through the point (0, negative 2) and shading above the boundary line. Image with alt text: A coordinate plane with a dashed horizontal boundary line through the point (0, negative 2) and shading below the boundary line. Image with alt text: A coordinate plane with a dashed vertical boundary line through the point (negative 2, 0) and shading to the left of the boundary line.
The correct graph of the inequality y < -2 is:
Image with alt text: A coordinate plane with a dashed horizontal boundary line through the point (0, negative 2) and shading above the boundary line.
The correct answer is: Image with alt text: A coordinate plane with a dashed horizontal boundary line through the point (0, negative 2) and shading below the boundary line.
To determine the graph of the inequality y < -2, we need to understand its representation on a coordinate plane.
The inequality y < -2 describes all the y-values that are less than -2. Since there is no condition for the x-values, it means they can take any value.
To plot this graph, we need to draw a dashed horizontal boundary line through the point (0, -2). We use a dashed line because the inequality is strict (less than sign, <), not including the line itself.
Since the inequality is y < -2, we need to shade the region of the graph that is below the boundary line.
Therefore, the correct response is:
Image with alt text: A coordinate plane with a dashed horizontal boundary line through the point (0, -2) and shading below the boundary line.