(Solved): Describe the set of points in space whose coordinates satisfy the given inequalities or combination ...

Describe the set of points in space whose coordinates satisfy the given inequalities or combinations of equations and inequalities. a. \( 1 \leq x^{2}+y^{2}+z^{2} \leq 16 \) b. \( x^{2}+y^{2}+z^{2} \leq 16, \quad x \geq 0 \) a. Choose the correct answer below. A. The solid ball of radius 4 centered at \( (0,0,0) \) with the interior of the solid ball of radius 1 centered at \( (0,0,0) \) removed B. The sphere of radius 4 centered at \( (0,0,0) \) together with the solid ball of radius 1 centered at \( (0,0,0) \) C. The solid ball of radius 4 centered at \( (0,0,0) \) with the sphere of radius 1 centered at \( (0,0,0) \) removed D. The sphere of radius 4 centered at \( (0,0,0) \) together with the sphere of radius 1 centered at \( (0,0,0) \)