(A) Are the Sets {1,3,6},{2,4,7} , and {5}

question 3

Essay

(a) Are the sets {1,3,6},{2,4,7} , and {5} a partition of {1,2,3,4,5,6,7} ?
(b) Are the sets {1,2,4,5},{3,6,7} , and {2,3} a partition of {1,2,3,4,5,6,7} ?

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Definitions:

Rapid Eye Movement

A phase of sleep characterized by quick, random movements of the eyes, associated with vivid dreaming and increased brain activity.

Narcolepsy

A disorder involving sudden and unpredictable daytime attacks of sleepiness or lapses into REM sleep.

Sleepiness

Sleepiness is the state of feeling drowsy or tired, often leading to a decreased ability to remain awake and alert.

Unpredictable

The quality of being unable to be predicted or foreseen, often leading to uncertainty or surprise.