Set Intersection | MCQs

Explanation

The intersection of two sets X and Y (X ∩ Y) is the set of elements that are common to both X and Y.

Given:

X = {2, 4, 6, 8}

Y = {1, 2, 3, 6}

The common elements are 2 and 6.

So, X ∩ Y = {2, 6}.

Explanation

To find the intersection (C ∩ D) of sets C and D, we need to find the elements that are common to both sets.

C = {a, b, e, f}

D = {2, 4, 8, 10}

Since there are no common elements between C and D, the intersection is an empty set.

Explanation

Intersection of sets includes only the elements common to all given sets.

It is denoted by the symbol ∩.

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.