The operation intersection on sets has an identity? True or False?Justify the answer by giving proofs or example

The intersection of two sets is also a set that comprises
all common elements to both sets.

We can state this
assumption using logical connectors, as it follows:

x
belongs to the set A∩B,if and only if x belongs to A  ^ x belongs to B. The logical
connector "^" represents a conjunction and it could be replaced by the word
"and".

We'll analyze the intersection between the sets A =
{1,3,5} and B = {3,5,7}.

A∩B =
{1,3,5}∩{3,5,7}

The common elements to A and B are those
elements that are in A and they are in B, too: {3,5}

A∩B =
{3,5}

When two or more sets have no common elements, they
are disjoint and the result of intersection is the empty set.