Write One or More Inequalities That Describe the Set of Points

question 54

Multiple Choice

Write one or more inequalities that describe the set of points.
-The exterior of the sphere of radius 5 centered at the point (-2, -3, -5)

• A) \(( x + 2 ) ^ { 2 } + ( x + 3 ) ^ { 2 } + ( x + 5 ) ^ { 2 } > 25\)
• B) \(( x - 2 ) ^ { 2 } + ( x - 3 ) ^ { 2 } + ( x - 5 ) ^ { 2 } < 25\)
• C) \(( x - 2 ) ^ { 2 } + ( x - 3 ) ^ { 2 } + ( x - 5 ) ^ { 2 } \geq 25\)
• D) \(( x + 2 ) ^ { 2 } + ( x + 3 ) ^ { 2 } + ( x + 5 ) ^ { 2 } < 25\)

---

Definitions:

Childhood Memories

Recollections of events or experiences from one's early years, which can significantly influence psychological development.

Photograph

An image created by light falling on a photosensitive surface, usually photographic film or an electronic sensor, such as in a digital camera.

Korsakoff's Syndrome

A chronic memory disorder caused by severe deficiency of thiamine (vitamin B1), often associated with alcoholism.

Vitamin B-1

Also known as thiamine, Vitamin B-1 plays a crucial role in energy metabolism and nerve function.