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Numerade Educator

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Problem 27 Easy Difficulty

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

$ y < 8 $

Answer

All the points to one side of the plane $y=8$ with $y$ -coordinate less than
$8,$ and $x$ and $y$ -coordinates of any real number. Points on $y=8$ are not
included.

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Video Transcript

All right, Sophie, draw our X Y Z axis. Here's why. Here's axe here, Z, here's the point eight. So everything less than eight. So if we think about this, this is really just a plane. We want everything less than that. Planes, everything to their write of this to the left of this plane here. Okay?