f A = set of all alphabet, then A is called:A.Finite setB.Infinite setC.Empty setD.Power set
Question
If A = set of all alphabet, then A is called:
- A. Finite set
- B. Infinite set
- C. Empty set
- D. Power set
Solution
To answer the question, we need to understand the definitions of the given options.
A. Finite set: A set that has a specific number of elements and can be counted.
B. Infinite set: A set that has an unlimited number of elements and cannot be counted.
C. Empty set: A set that has no elements.
D. Power set: The set of all possible subsets of a given set.
Now, let's analyze the given statement: "If A is the set of all alphabets..."
Since the set of all alphabets is infinite (as there is no limit to the number of alphabets), option A (finite set) can be eliminated.
The set of all alphabets is not empty, so option C (empty set) can also be eliminated.
Finally, the set of all alphabets does not include subsets, so option D (power set) can be eliminated.
Therefore, the correct answer is option B: Infinite set.
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