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

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Alternate coordinate systems asked 2020-11-23
Describe in words the region of $$RR^{3}$$ represented by the equation or inequality.
$$z \geq -1$$

## Answers (1) 2020-11-24
$$RR^{3}$$ is the three dimensional coordinate system which contains x, y, and z-coordinates.
The equation $$z \geq -1\ in\ RR^{3}$$
represents the set $${(x, y, z)|z \geq-1},$$
which is the set of all points in $$RR^{3}$$ 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 $$z \geq -1\ in\ RR^{3}$$
represents a half-space that consists of all points which are on or above the plane $$z = -1.$$

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