Question

graph the inequality in the coordinate plane.
x≥-2

Explanation:

Step1: Identify the boundary line

The inequality is \( x \geq -2 \). The boundary line is \( x = -2 \), which is a vertical line passing through \( x = -2 \) on the x - axis. Since the inequality is "greater than or equal to", the line should be solid (because the points on the line \( x=-2 \) are included in the solution set).

Step2: Determine the region to shade

For a vertical line \( x = a \), the inequality \( x\geq a \) means we shade the region to the right of the line \( x = a \). In this case, \( a=-2 \), so we shade the region to the right of the line \( x=-2 \) (including the line itself). To graph this, we draw a solid vertical line at \( x = -2 \) and shade the area to the right of this line (where \( x\) values are greater than or equal to - 2).

Answer:

To graph \( x\geq - 2\):

1. Draw a solid vertical line at \( x=-2\) (since the inequality includes equality, the line is solid).
2. Shade the region to the right of the line \( x = - 2\) (all points with \( x\)-coordinate greater than or equal to - 2 are part of the solution set).