Describe the set of points in space whose coordinates satisfy the given inequalities or combinations of equations and inequalities. a. 1 x2 + y2 + z2 25

b. x2 + y2 + z2 s25, x 20

A. The solid ball of radius 5 centered at (0,0,0) with the sphere of radius 1 centered at (0,0,0) removed.

B. The sphere of radius 5 centered at (0,0,0) together with the solid ball of radius 1 centered at (0,0,0).

C. The solid ball of radius 5 centered at (0,0,0) with the interior of the solid ball of radius 1 centered at (0,0,0) removed.

D. The sphere of radius 5 centered at (0,0,0) together with the sphere of radius 1 centered at (0,0,0).

The correct format of the question is

Describe the set of points in space whose coordinates satisfy the given inequalities or combinations of equations and inequalities.

a.

b.

(C).The solid ball of radius 5 centered at (0,0,0) with the interior of the solid ball of radius 1 centered at (0,0,0) removed.

Step-by-step explanation:

These are the equation of Spheres

In the equation , when we will take square root of 25 we will get radius as 5 so the Sphere is varying from radius 1 to 5, Which will make it into a Solid sphere with the center at (0, 0, 0)

In the equation it is given that the sphere is less than

radius 5 units.

Also there will be no sphere with radius from 0 to 1 because the sphere is starting from radius 1 and increasing till radius 5.

Therefore, The sphere is a solid increasing from radius 1 to 5.

and another solid sphere is removed from inside with radius increasing from 0 to 1.

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