Question

select the correct answer from each drop-down menu.
a linear inequality is graphed below, where the solution region is shaded.
complete the sentences below by determining whether each point is, or is not, located in the solution region.
the point (1,5) located in the solution region.
the point (-2,-3) located in the solution region.
the point (-1,-3) located in the solution region.
the point (3,12) located in the solution region.

Explanation:

Step1: Analyze the graph's solution region

The shaded region is on one side of the linear boundary. We check each point's position relative to the shaded area.

Step2: Check (1,5)

From the graph, (1,5) lies within the shaded (solution) region. So it is located in the solution region.

Step3: Check (-2,-3)

Looking at the graph, (-2,-3) is within the shaded area. So it is located in the solution region.

Step4: Check (-1,-3)

By observing the graph, (-1,-3) is in the shaded region. So it is located in the solution region.

Step5: Check (3,12)

From the graph, (3,12) is within the shaded (solution) region. So it is located in the solution region.

Answer:

The point (1,5) is located in the solution region.
The point (-2,-3) is located in the solution region.
The point (-1,-3) is located in the solution region.
The point (3,12) is located in the solution region.