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Which of the following sets is non-empty?
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- A = set of odd natural numbers divisible by 2
- B = {x : x + 5 = 0, x ∈ N}
- C = set of even prime numbers
- D = {x : 1 < x < 2, x ∈ N},
Correct Option: C
A natural number is a number that occurs commonly and obviously in nature. As such, it is a whole, non-negative number. The set of natural numbers, denoted N, can be defined in either of two ways: N = {0, 1, 2, 3, ...}
As per given option.
(a) As no odd natural number is divisible by 2, the set A is empty.
(b) Since no natural number satisfies the equation x + 5 = 0,
∴ B = Φ
(c) Since 2 is an even prime number, i.e., C = {2}, C is not an empty set.
(d) Since there is no natural number between 1 and 2, D is an empty set.
