Write one or more inequalities that describe the set of points.
-The closed region bounded by the spheres of radius 2 and 7, both centered at the origin, and the planes x = 3 and x = 5
A) $4 \leq x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \leq 49$ and $3 \leq x \leq 5$
B) $2

Question

Write one or more inequalities that describe the set of points.
-The closed region bounded by the spheres of radius 2 and 7, both centered at the origin, and the planes x = 3 and x = 5 
A) $4 \leq x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \leq 49$ and $3 \leq x \leq 5$
B) $2 < x ^ { 2 } + y ^ { 2 } + z ^ { 2 } < 7$ and $x = 3$ and $x = 5$
C) $2 \leq x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \leq 7$ and $x = 3$ and $x = 5$
D) $4 < x ^ { 2 } + y ^ { 2 } + z ^ { 2 } < 49$ and $3 < x < 5$

Quizplus · Accepted Answer

The inequalities describe a region between two spheres with radii 2 and 7, hence $4 \leq x^2 + y^2 + z^2 \leq 49$, and between the planes x = 3 and x = 5, hence $3 \leq x \leq 5$.

Write One or More Inequalities That Describe the Set of Points