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

ka1leE 2020-11-23 Answered
Describe in words the region of RR3 represented by the equation or inequality.
z1
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Expert Answer

Brighton
Answered 2020-11-24 Author has 103 answers

RR3 is the three dimensional coordinate system which contains x, y, and z-coordinates.
The equation z1 in RR3
represents the set (x,y,z)|z1,
which is the set of all points in RR3 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.
image
Thus, the equation z1 in RR3
represents a half-space that consists of all points which are on or above the plane z=1.

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