Archangel Macsika
For each of these pairs of sets,determine whether the first is a subset of the second,the second is a subset of the first, or neither is a subset of the other. (a) the set of airline flights from New York to New Delhi, the set of nonstop airline flights from New York to New Delhi (b) the set of people who speak English, the set of people who speak Chinese (c) the set of flying squirrels, the set of living creatures that can fly
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(a)
Answer
The set of nonstop airline flights from New York to New Delhi is a subset of the set of airline flights from New York to New Delhi.
Explanation
If the flight from New York to New Delhi is nonstop, it is still a flight from New York to New Delhi.
(b)
Answer
The set of people who speak English and the set of people who speak Chinese intersect, but neither is a subset of the other.
Explanation
There is a person, who speaks English, but doesn't speak Chinese.
There is a person, who speaks Chinese, but doesn't speak Chinese.
(c)
Answer
The set of flying squirrels is a subset of the set of living creatures that can fly.
Explanation
The flying squirrel is a living creature that can fly.