Write inequalitie to describe a region consisting of all points between ( but not on ) the spheres of radius r and r centered at the origin. where r

Step-by-step explanation:

We are given the following in the question:

where r and r are the radius of the circle.

General equation of circle:

where(h,k,j) is the center of the circle and r is the radius of circle.

If the circle is centered at origin, then,

Equation of circle with radius R centered on origin

Inequality to describe the region that consist of all points lying between the sphere of radius r and R but not on the sphere is given by:

step-by-step explanation: