The identity element of a set X with respect to intersection in P(X) is?
- X
- does not exist
- 0
- None
Explanation
In the power set P(X), the intersection operation is defined as:
A ∩ B = {x ∈ X | x ∈ A and x ∈ B}
The identity element with respect to intersection is the element that does not change the result when intersected with any other element. In this case, the identity element is the set X itself, because:
A ∩ X = A
for any subset A of X.
Related MCQs
ایسی شخصیت جس کے چاروں اطراف برابر ہوں وہ کیا کہلاتی ہیں؟
- Rectangle
- Square
- Circle
- Rhombus
اس سوال کو وضاحت کے ساتھ پڑھیں
- 24680
- 35791
- 24679
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
