graph this inequality: y ≥ -3 plot points on the boundary line. select the line to switch between solid and…

graph this inequality: y ≥ -3 plot points on the boundary line. select the line to switch between solid and dotted. select a region to shade it.

graph this inequality: y ≥ -3 plot points on the boundary line. select the line to switch between solid and dotted. select a region to shade it.

Answer

Explanation:

Step1: Identify the boundary - line equation

The boundary - line equation for $y\geq - 3$ is $y=-3$. It is a horizontal line.

Step2: Determine the type of the boundary line

Since the inequality is $y\geq - 3$ (the symbol is $\geq$), the boundary line is solid.

Step3: Find points on the boundary line

The equation of the line is $y = - 3$. Points on this line can be $(-5,-3),(0,-3),(5,-3)$ etc.

Step4: Determine the shaded region

For the inequality $y\geq - 3$, we shade the region above the line $y = - 3$ because we want all the $y$ - values that are greater than or equal to - 3.

To graph:

  1. Plot several points on the line $y=-3$ such as $(-5,-3),(0,-3),(5,-3)$.
  2. Draw a solid horizontal line passing through these points.
  3. Shade the region above the line $y = - 3$.

Answer:

Graph a solid horizontal line at $y=-3$ and shade the region above the line.