Question

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

Explanation:

Step1: Determine boundary line type

The inequality is \( x > -3 \). Since the inequality is strict (\(>\) not \(\geq\)), the boundary line \( x = -3 \) is dashed (dotted) because the points on \( x = -3 \) are not included in the solution.

Step2: Identify the boundary line

The line \( x = -3 \) is a vertical line passing through \( x = -3 \) on the x - axis. So we plot a dashed vertical line at \( x=-3 \).

Step3: Determine the region to shade

For the inequality \( x > -3 \), we need to shade the region where the x - values are greater than - 3. This is the region to the right of the dashed line \( x=-3 \).

To graph \( x > - 3 \):

1. Draw a dotted (dashed) vertical line at \( x=-3 \) (since \( x=-3 \) is not included in the solution set).
2. Shade the region to the right of the line \( x = - 3 \) (this region contains all points where the x - coordinate is greater than - 3).

(Note: Since this is a graphing task, the final answer is the described graph with a dotted vertical line at \( x = - 3 \) and the region to the right of the line shaded.)

Answer:

Step1: Determine boundary line type

The inequality is \( x > -3 \). Since the inequality is strict (\(>\) not \(\geq\)), the boundary line \( x = -3 \) is dashed (dotted) because the points on \( x = -3 \) are not included in the solution.

Step2: Identify the boundary line

The line \( x = -3 \) is a vertical line passing through \( x = -3 \) on the x - axis. So we plot a dashed vertical line at \( x=-3 \).

Step3: Determine the region to shade

For the inequality \( x > -3 \), we need to shade the region where the x - values are greater than - 3. This is the region to the right of the dashed line \( x=-3 \).

To graph \( x > - 3 \):

1. Draw a dotted (dashed) vertical line at \( x=-3 \) (since \( x=-3 \) is not included in the solution set).
2. Shade the region to the right of the line \( x = - 3 \) (this region contains all points where the x - coordinate is greater than - 3).

(Note: Since this is a graphing task, the final answer is the described graph with a dotted vertical line at \( x = - 3 \) and the region to the right of the line shaded.)