2026 · Q32
Consider the following sets:
The set of even prime numbers
{x ∈ ℝx³+1 = 0}
{n ∈ ℤn² < 1}
How many of the above are null sets?
Elementary MathematicsSet Theory
- ANone
- BOne
- CTwo
- DAll the three
Explanation
Set I is {2} (the only even prime) — non-empty. Set II is {−1} since x³ + 1 = 0 gives x = −1 over ℝ — non-empty. Set III is {0} since only n = 0 satisfies n² < 1 over ℤ — non-empty. None of the three is a null set, option A.