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Answer :
Final answer:
The set defined as {x | x > 9 and x < 2} is an empty set, because there are no numbers that are simultaneously greater than 9 and less than 2. So, the only set that can be equal to it from the given choices is the empty set {}.
Explanation:
The set {x | x > 9 and x < 2} denotes elements x that are greater than 9 and less than 2 at the same time. In terms of a number line, there are no such numbers that fulfill these conditions simultaneously. Therefore, the set is empty.
The other sets provided in the question can't be equal to it, since they all contain numbers. The only set that can be equal to {x | x > 9 and x < 2} is the empty set {}, since it also has no elements.
Remember, two sets are equal if they have exactly the same elements.
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