Empty Set | MCQs

Explanation

The empty set is a set with no elements.

It is denoted by { } or Ø.

Explanation

A set with no elements is commonly referred to as a null set, empty set, or void set.

All these terms mean the same: a set with zero elements, usually denoted by Ø or { }.

Explanation

In mathematics, the empty set is the unique set having no elements; its size or cardinality is zero.

Some axiomatic set theories ensure that the empty set exists by including an axiom of empty set, while in other theories, its existence can be deduced.

Explanation

Empty set is, in fact, a subset of every set, including itself, because the definition of a subset allows the empty set to be considered a subset of any set.

The intersection of the empty set with any set is always the empty set, making statements about it true.

Explanation

( ) is commonly referred to as Parenthesis.

But it is also known as Circled bracket or Curved brackets.

Explanation

The empty set ∅ has exactly one subset, which is itself (∅).