Question

Which of the following sets is empty?

Answer 1

Answer:

Solution

Correct option is

B

{B=x:2x+1=2,x∈N}

A) set A={0}

Contain one element

B) Consider set B

2x+1=2

=>x=

2

1

which is not a natural number.

set B is empty

C) set C={−1}

Contain one element

D) set D={October}

Contain one element

Hence, set B is an empty set as it has no element satisfying the condition.

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Answer 2

Answer:

Answer: In mathematics, the empty set is the unique set having no elements; its size or cardinality (count of elements in a set) 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.