S = {1, 2, 3, 4} is a set of:
- Whole numbers
- Prime numbers
- Natural numbers
- Even numbers
Explanation
Natural Numbers:
These are the counting numbers starting from 1 (i.e., 1, 2, 3, 4, ...).
The given set S = {1, 2, 3, 4} exactly fits this definition.
- Whole Numbers:
Whole numbers start from 0 (i.e., 0, 1, 2, 3, 4, ...).
Since 0 is missing in the set, it's not a set of whole numbers.
- Prime Numbers:
Prime numbers are numbers greater than 1 that are only divisible by 1 and themselves.
In this set:
- 1 is not a prime number,
- 4 is not a prime number (4 is divisible by 2).
So it's not a set of primes.
- Even Numbers:
Even numbers are divisible by 2. In the set:
Only 2 and 4 are even; 1 and 3 are odd.
So it’s not a set of even numbers either.
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