If A = {x ∈ ℕ : x is an even prime greater than 2}, what is A?
Answer and explanation
Correct answer: ∅
The only even prime number is 2. However, the condition requires the number to be greater than 2, so that only possible even prime is excluded. Every even number greater than 2 is composite because it is divisible by 2 and has a divisor other than 1 and itself. Consequently, no natural number satisfies all the conditions, and A is the empty set ∅.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
The only even prime number is 2. However, the condition requires the number to be greater than 2, so that only possible even prime is excluded. Every even number greater than 2 is composite because it is divisible by 2 and has a divisor other than 1 and itself. Consequently, no natural number satisfies all the conditions, and A is the empty set ∅.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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