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Write One or More Inequalities That Describe the Set of Points

Question 131

Multiple Choice

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) 4x2+y2+z2494 \leq x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \leq 49 and 3x53 \leq x \leq 5
B) 2<x2+y2+z2<72 < x ^ { 2 } + y ^ { 2 } + z ^ { 2 } < 7 and x=3x = 3 and x=5x = 5
C) 2x2+y2+z272 \leq x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \leq 7 and x=3x = 3 and x=5x = 5
D) 4<x2+y2+z2<494 < x ^ { 2 } + y ^ { 2 } + z ^ { 2 } < 49 and 3<x<53 < x < 5

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