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Numerade Educator

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Problem 29 Easy Difficulty

Describe in words the region of $ \mathbb{R}^3 $ represented by the equation(s) or inequality.

$ 0 \le z \le 6 $

Answer

In words: The inequality $0 \leq z \leq 6$ represents all points on or between the
horizontal planes $\mathrm{z}=0$ and $\mathrm{z}=6$

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Video Transcript

Okay, So if we look at the X y z axis here sex, see who got the Z equals zero plane. So you could imagine it's like that. Then we got Ziegel. Six plane up here says that sixth zero. We want everything in between here. This obviously goes on forever. It's kind of like an infinite a rectangular prism.