Question

select the points that are solutions to the system of inequalities. select all that apply.
text description for graph
a. (-2, 0)
b. (0, 10)
c. (1, 2)
d. (-10, 10)

Explanation:

To determine which points are solutions to the system of inequalities, we check if each point lies within the shaded region (the solution set) of the system.

Step 1: Analyze Point A: \((-2, 0)\)

We check if \((-2, 0)\) is in the shaded region. From the graph, the shaded region is above the solid line and above the dashed line. Let's assume the inequalities (even without the exact equations, we can use the graph's shading). The point \((-2, 0)\) seems to be below the shaded region (since the shaded region is in the upper - left part relative to this point's position). So, \((-2, 0)\) is not in the shaded region.

Step 2: Analyze Point B: \((0, 10)\)

The point \((0, 10)\) is on the boundary of the shaded region (the top - part of the shaded region). Since the top boundary seems to be a horizontal line (or part of the system's boundaries) and the point lies within the shaded area (visually, from the graph's shading), \((0, 10)\) is a solution.

Step 3: Analyze Point C: \((1, 2)\)

The point \((1, 2)\) is in the lower - right part of the coordinate plane. The shaded region is in the upper - left part relative to this point. So, \((1, 2)\) is not in the shaded region.

Step 4: Analyze Point D: \((-10, 10)\)

The point \((-10, 10)\) is in the upper - left part of the coordinate plane, which is within the shaded region (visually, from the graph's shading). So, \((-10, 10)\) is a solution.

Answer:

B. \((0, 10)\), D. \((-10, 10)\)