# Describe in words the region of RR^{3} represented by the equation or inequality. z geq -1

Describe in words the region of $R{R}^{3}$ represented by the equation or inequality.
$z\ge -1$
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Brighton

$R{R}^{3}$ is the three dimensional coordinate system which contains x, y, and z-coordinates.
The equation
represents the set $\left(x,y,z\right)|z\ge -1,$
which is the set of all points in $R{R}^{3}$ whose z-coordinate is greater than or equal to 8 and x, y-coordinates are any values.
The equation $z=-1$ is sketched as shown below in Figure 1.

Thus, the equation
represents a half-space that consists of all points which are on or above the plane $z=-1.$

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