Question

graph this inequality:
x > -4
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 \( x > -4 \). Since the inequality is strict (\( > \), not \( \geq \)), the boundary line \( x = -4 \) is dotted.

Step2: Plot boundary line

The line \( x = -4 \) is a vertical line passing through \( x = -4 \) on the x - axis. Plot points along this vertical line (e.g., (-4, 0), (-4, 1), (-4, -1) etc.) with a dotted line.

Step3: Determine shading region

For the inequality \( x > -4 \), we shade the region to the right of the line \( x = -4 \) (since we want all x - values greater than - 4).

Answer:

To graph \( x > - 4 \):

1. Draw a dotted vertical line at \( x=-4 \) (passing through \( x = - 4 \) on the x - axis, with points like \((-4,0)\), \((-4,1)\), \((-4, - 1)\) plotted on it).
2. Shade the region to the right of the line \( x=-4 \) (the area where \( x\) - values are greater than - 4).